جستجوی استاد راهنمای دانشگاهی

Sumanta Acharyaمشاهده پروفایل

استاد

• Thermal and Fluid Sciences
• Computational Fluid Dynamics
• Turbulence Modeling
• +۵ مورد دیگر

Sumanta Acharya is a Professor in the Department of Mechanical Engineering at Illinois Tech's Armour College of Engineering. His career spans computational methods, experimental fluid mechanics, and combustion, with affiliations including ASME, AIAA, and ASTFE. Ph.D. in Mechanical Engineering, University of Minnesota (1982) M.S. in Mechanical Engineering, University of Minnesota (1980) B.S. in Mechanical Engineering, Indian Institute of Technology (1978) A leading expert in thermal and fluid sciences, Acharya focuses on gas turbine heat transfer, turbulence modeling, and advanced cooling systems. His work integrates Computational Fluid Dynamics (CFD) with experimental validation for applications in biofuels , hydrogen combustion , and phase change materials . Recent publications highlight innovations in Brayton cycle integration, impingement cooling, and aerothermal performance optimization. Awarded by ASME, AIAA, and LSU, his honors include the ASME Heat Transfer Memorial Award (2011) and ASME Fellow (1999). He has contributed to key committees, including the ASME Heat Transfer Division Executive Committee and the Department of Energy's University Turbine Systems Research program. Researcher to Know, Illinois Science & Technology Coalition (2022) ASME Dedicated Service Award (2019) AIAA Thermophysics Award (2015) Contact: sacharya1@illinoistech.edu | Phone: 312.567.3701

Keith A. Wymanمشاهده پروفایل

پژوهشگر

• Quantum Optics
• Atmospheric Propagation
• Photonics
• +۳ مورد دیگر

Maj Keith A. Wyman, PhD is a researcher affiliated with the Air Force Institute of Technology (AFIT), specializing in quantum optics and atmospheric photonics. His work focuses on photonic qubit propagation, atmospheric turbulence effects, and laser-based quantum technologies. He holds a PhD in Applied Physics from AFIT (2023), an M.S. in Applied Physics (2014), and dual B.S. degrees in Physics and Mathematics from the United States Air Force Academy (2012). Wyman’s research interests include developing atmospheric turbulence simulators, studying quantum communication protocols, and advancing laser technologies for free-space optical networks. His recent publications address photon pair indistinguishability, qubit degradation under turbulence, and sodium beacon systems for adaptive optics. He collaborates with institutions like Ohio State University’s Center for Quantum Information Science and Engineering. His academic contributions span conferences such as SPIE and FQMT, with a focus on experimental quantum systems and optical metrology. Wyman’s work bridges theoretical quantum mechanics with applied engineering solutions for military and civilian optical communication challenges.

Farzad Mashayekمشاهده پروفایل

استاد

• Turbulent Reacting Flow
• Plasma Flow
• Electrostatic Atomization
• +۹ مورد دیگر

Farzad Mashayek is a Professor and Department Head of Aerospace and Mechanical Engineering at the University of Arizona, College of Engineering. He is a member of the Graduate Faculty and leads the Computational Multiphase Transport Laboratory. His research integrates high-fidelity simulations, machine learning, and experimental validation across diverse domains in fluid dynamics and energy systems. Educational Background: PhD in Mechanical Engineering, State University of New York at Buffalo, Buffalo, NY MS in Mechanical Engineering, Sharif University of Technology, Tehran, Iran BS in Mechanical Engineering, Sharif University of Technology, Tehran, Iran His research interests include turbulent reacting flows, plasma dynamics, electrostatic atomization, solid-ion and lithium batteries, computational fluid dynamics, and machine learning applications in engineering. He employs high-order spectral element methods, phase-field modeling, and deep neural networks to study complex multiphysics phenomena such as drop impact, battery degradation, and turbulence modeling. The recent publications reflect a strong trend toward integrating machine learning with multiphysics simulations, particularly in battery safety (thermal runaway prediction), materials characterization (STEM image analysis), and fluid dynamics (modal analysis of turbulence). His work often involves collaboration with experimental groups to validate models, especially in dental aerosol suppression and electrohydrodynamics. Scientific Awards: Sustained Service Award, American Institute of Aeronautics and Astronautics (AIAA), Spring 2022 Best Presentation Award, The 20th International Conference on Computational Mathematics, Parallel and Distributed Computing, Summer I 2018 Dr. Mashayek has secured funding from NSF (GOALI program) for controlled coating via charged droplet deposition. He advises graduate students and postdoctoral researchers in computational mechanics and energy systems, fostering interdisciplinary research. He has contributed to engineering education, particularly during the pandemic, with active learning strategies in online instruction. He leads a dynamic research team focused on advancing simulation tools and applying them to real-world challenges in energy, manufacturing, and public health.

Gianluca Iaccarinoمشاهده پروفایل

استاد

• Scientific Computing
• Uncertainty Quantification
• Turbulence Modeling
• +۶ مورد دیگر

Gianluca Iaccarino is a Professor of Mechanical Engineering at Stanford University and the Robert Bosch Chairholder. He serves as Director of the PSAAP Center and leads large-scale computational research initiatives in uncertainty quantification, exascale computing, and multiphysics simulations. His academic journey includes a PhD in Mechanical Engineering from Politecnico di Bari (2005), postdoctoral work at Stanford's Center for Turbulence Research, and progression from Research Engineer to full Professor. Education : PhD (Politecnico di Bari), MS/BS in Aeronautical Engineering (University of Naples) Research : Computational engineering, turbulence modeling, uncertainty quantification, biomedical fluid dynamics, and exascale-ready algorithms Publications : 15+ recent articles focus on turbulence modeling, data-driven simulations, and uncertainty quantification across diverse applications in aerospace, biomedical, and energy systems Awards : PECASE (2010), APS Fellow (2019), multiple best paper awards (AIAA, ASME), Terman Fellow (2007) Students : Advises doctoral and master's students in mechanical engineering and computational methods Leadership : Director of PSAAP Center (2014-present), Chair of Mechanical Engineering Department (2024-present)

Krishnan Maheshمشاهده پروفایل

استاد

• High-fidelity simulation of turbulent flows
• Multi-physics fluid dynamics
• Computational Fluid Dynamics (CFD)
• +۱۰ مورد دیگر

Dr. Krishnan Mahesh is a Professor at the University of Michigan with joint appointments in Mechanical Engineering and Naval Architecture and Marine Engineering. He serves as Director of the Center for Naval Research and Education and leads the Computational Fluids Laboratory, where he develops advanced numerical methods for simulating multi-physics turbulent flows. Education: Ph.D. (1996), M.S. (1990) from Stanford University, B.Tech (1989) from IIT Bombay Leadership: Director, Center for Naval Research and Education (2022-present) His research focuses on high-fidelity simulations of turbulent flows with applications in marine propulsors, multiphase systems, cavitation, hydroacoustics, superhydrophobic surfaces, biofouling, fluid-structure interaction, and flow stability. His group develops the MPCUGLES software for unstructured grid simulations on parallel computing platforms. Recent work examines cavitation dynamics , tip vortex flows , and roughness-induced transition in complex marine and aerospace systems. His 15 most recent articles demonstrate expertise in LES/DNS of multi-physics flows, with emphasis on marine propulsion, bubble collapse, and turbulent noise prediction. Scientific Honors: 2021 AIAA Best Paper Award 2018 Fulbright Scholar 2017 Marine Propulsors Symposium Best Paper 2011 APS Fellow 2010 Taylor Award for Distinguished Research He mentors numerous graduate students and postdoctoral fellows, with collaborative projects spanning jet in crossflow analysis, gas turbine simulations, and shock-turbulence interactions. His research receives funding from ONR, NSF, and international naval programs.

Tapio Schneiderمشاهده پروفایل

استاد

• Atmospheric Dynamics
• Climate Modeling
• Geophysical Turbulence
• +۴ مورد دیگر

Tapio Schneider is the Theodore Y. Wu Professor of Environmental Science and Engineering at the California Institute of Technology. His research focuses on atmospheric dynamics across Earth and other planets, climate modeling innovations, and geophysical turbulence analysis. He contributes to the Climate Modeling Alliance (CliMA) and develops advanced computational tools for climate prediction. Albert-Ludwigs-Universität Freiburg (Vordiplom, 1993) Princeton University (M.Sc. 1997, Ph.D. 2001) University of Washington, Seattle (Visiting Graduate Student, 1994-1995) His research spans climate dynamics , atmospheric turbulence , and AI-enhanced climate modeling , addressing challenges in cloud dynamics, extreme weather patterns, and planetary climate systems. Current work emphasizes hybrid machine learning-physical models and computational acceleration for high-resolution simulations. Recent publications highlight trends in AI integration for climate science, with applications in hydrology , cloud microphysics , ocean circulation , snowpack modeling , and climate tipping points . His team develops open-source tools like ClimateMachine for GPU-accelerated simulations. Scientific Recognition: Fellow, American Geophysical Union (2022) Rosenstiel Award (2019) World Economic Forum Young Scientist (2012) David and Lucile Packard Fellow (2005-2010) Alfred P. Sloan Research Fellow (2004-2006) Tapio leads climate dynamics research at Caltech, directs the Linde Center for Global Environmental Science (2011-2012), and serves as Editor for the Journal of Advances in Modeling Earth Systems . His group collaborates with NASA Jet Propulsion Laboratory (2016-2024) and Google Research (2022-present).

Petros Koumoutsakosمشاهده پروفایل

استاد

• Machine Learning
• Computational Fluid Dynamics
• Turbulence Modeling
• +۳ مورد دیگر

Petros Koumoutsakos is the Herbert S. Winokur, Jr. Professor of Computing in Science and Engineering at Harvard University's School of Engineering and Applied Sciences (SEAS), where he also serves as Area Chair for Applied Mathematics. His research integrates machine learning with computational science to advance understanding of complex systems, including fluid dynamics, turbulence modeling, and biomedical applications. He leads the CSE Lab, focusing on high-performance computing and interdisciplinary collaborations such as a recent study with Citadel Securities and Google Cloud to simulate heart disease in cloud environments. Key research interests include reinforcement learning for turbulence closures, generative models for PDE solutions, and physics-informed AI for biomedical imaging and wildfire prediction. He was awarded the PRACE HPC Excellence Award (2023) for contributions to high-performance computing. His work bridges computational methods with real-world applications, emphasizing interpretability and scalability in multiscale systems. Grants & Collaborations: Leadership in multi-institutional projects, including turbulence modeling via reinforcement learning and cloud-based HPC studies. Labs/Teams: Director of the CSE Lab, advancing AI, computational fluid dynamics, and biomedical simulations.

Nikolaus A. Adamsمشاهده پروفایل

استاد

• Aerodynamics
• Fluid Mechanics
• Numerical Methods
• +۵ مورد دیگر

Prof. Dr. Nikolaus A. Adams is a full professor and Chair of Aerodynamics and Fluid Mechanics at the Technical University of Munich (TUM), affiliated with the TUM School of Engineering and Design. Born in 1963, he holds a doctorate from TUM (1993) and habilitation from ETH Zurich (1999). His research focuses on numerical methods, turbulent flows, microfluidics, and multiphase systems. He has held leadership roles, including Dean of the Faculty of Mechanical Engineering since 2023 and Vice Dean (2015–2016). Education: PhD from TUM (1993), habilitation from ETH Zurich (1999) Research interests include aerodynamics, fluid-structure interaction, and numerical techniques for compressible flows. His work spans high-speed aerodynamics and computational fluid dynamics (CFD). Awards include ERC Advanced Grants (GENUFASD 2023, NANOSHOCK 2015), the Gordon Bell Prize (2013), and Fellow of the American Physical Society (2011). Grants and leadership: Spokesperson of DFG SFB/TRR 40 (2008–2020), co-author of 'Large-Eddy Simulation for Compressible Flows' (2009), and editorial roles in J. Comput. Phys.

Raffaele Ferrariمشاهده پروفایل

استاد

• Ocean Dynamics
• Climate Science
• Paleoclimatology
• +۵ مورد دیگر

Raffaele Ferrari is the Cecil & Ida Green Professor of Oceanography and Co-Director of the MIT Lorenz Center within the Department of Earth, Atmospheric, and Planetary Sciences (EAPS). He holds a BS/MS from Università di Torino and a PhD from Politecnico di Torino and Scripps Institution of Oceanography. His research focuses on ocean dynamics, climate modeling, and paleoclimatology, with emphasis on turbulence, carbon cycling, and climate system interactions. Key projects include the Climate Modeling Alliance (CliMA) and the Bottom Boundary Layer observational program. He has been recognized with awards such as the Harald Sverdrup Lecture (2022) and the Nicholas P. Fofonoff Award (2007). His work integrates high-resolution modeling, observational data, and theoretical frameworks to advance climate science. Education: BS/MS (Università di Torino), PhD (Politecnico di Torino/Scripps) Affiliations: MIT Lorenz Center, CliMA collaboration (Caltech/JPL), MIT-WHOI Joint Program Research spans ocean turbulence, paleoclimate dynamics (e.g., Last Glacial Maximum, Eocene), and climate model development using AI/ML. He advises numerous students across these themes, contributing to breakthroughs in submesoscale dynamics and ocean energetics.

Xiaowei Jiaمشاهده پروفایل

استادیار

• Machine Learning
• Data Mining
• Physics-Guided Neural Networks
• +۵ مورد دیگر

Xiaowei Jia is an Assistant Professor in the Department of Computer Science at the University of Pittsburgh. He holds a Ph.D. from the University of Minnesota (supervised by Prof. Vipin Kumar) and B.S./M.S. degrees from the University of Science and Technology of China (USTC) and SUNY Buffalo. His research focuses on integrating scientific theory with machine learning to address societal and environmental challenges, such as climate modeling, hydrology, and fairness in AI. Education: Ph.D., University of Minnesota (2020) M.S., State University of New York at Buffalo B.S., University of Science and Technology of China (USTC) Research Interests: Knowledge-Guided Machine Learning Spatiotemporal Data Mining Fairness in AI for Social Good Applications in Environmental Science and Healthcare Publications showcase his work on physics-integrated neural networks, spatiotemporal modeling (e.g., water temperature prediction), and fairness-aware algorithms. His work has been recognized with Best Paper awards at SIAM SDM (2022, 2023). Awards include the Best Applied Data Science Paper Award at SIAM SDM in 2022 and 2023. He teaches advanced machine learning courses, emphasizing theory integration with real-world applications.

Changxi Zhengمشاهده پروفایل

دانشیار

• Computer Graphics
• Scientific Computing
• Physics-Based Sound Synthesis
• +۷ مورد دیگر

Changxi Zheng is an Associate Professor in the Department of Computer Science at Columbia University's School of Engineering and Applied Science (SEAS). He directs Columbia's Computer Graphics Group (C2G2) within the Columbia Vision and Graphics Center (CVGC). After receiving his PhD from Cornell University, he joined the faculty of Computer Science Department at Columbia, where he has established himself as a leading researcher in computer graphics and scientific computing. Dr. Zheng's research spans multiple areas of applied computer science with a particular focus on computer graphics and scientific computing. His work centers around developing numerical models for simulating physical phenomena involving complex motions such as fluids, bubbles, and thin rods, along with their resulting acoustic waves. Leveraging computational insights from these models, he devises methods for improving tangible object creation, enabling novel human-computer interactions, and developing software tools for acoustic and photonic devices. His research has attracted significant public interest and media coverage, including projects like FontCode, AirCode, and Computational Metallophone Design. His recent publications reveal a strong interdisciplinary approach, bridging computer graphics, physics simulation, machine learning, and hardware design. His work demonstrates consistent innovation in computational methods for simulating physical phenomena and applying these techniques to practical problems in 3D printing, acoustic modeling, and interactive systems. The breadth of his research spans from fundamental physics-based simulations to practical applications in industry. Columbia SEAS Dean's Fellow (for advised students) NSF Graduate Research Fellow (for Ruilin Xu) Snap Research Fellow (for Rundi Wu) CKGSB Fellow (for Yun Fei) Adobe Research Fellow (for Gabriel Cirio) Marie Sklodowska-Curie Individual Fellow (for Rundi Wu) Best Paper Award at ACM International Conference on Multimedia (ACMMM), 2019 Dr. Zheng actively mentors a diverse group of students, including current PhD candidates and postdoctoral researchers. His research group has received support from various sources that enable their innovative work in computational graphics and physics-based simulation. He has supervised numerous successful students who have gone on to positions at leading technology companies including Adobe, Tencent, Facebook, and academic institutions. As director of Columbia's Computer Graphics Group (C2G2) within the Columbia Vision and Graphics Center (CVGC), Dr. Zheng leads a vibrant research team focused on advancing the state of the art in computer graphics, physics-based simulation, and their applications. The group maintains strong collaborations with industry partners and academic institutions worldwide, fostering an environment of innovation and practical application of theoretical concepts.

William H. Matthaeusمشاهده پروفایل

استاد

• Space Physics
• Plasma Physics
• Turbulence Theory
• +۷ مورد دیگر

William H. Matthaeus is the Martin A. Pomerantz Chair of Physics & Astronomy at the University of Delaware, where he has been a faculty member since 1983. He is affiliated with the Bartol Research Institute, housed in the H. Rodney Sharp Laboratory on the University of Delaware campus. His work focuses on space physics, plasma physics, turbulence theory, and computational physics. Dr. Matthaeus received his B.A. degree in physics and philosophy from the University of Pennsylvania in 1973, followed by a Ph.D. from William and Mary in 1979. His academic journey included a National Academy of Sciences Research Associate position from 1980-1982 before joining the University of Delaware. Matthaeus's research spans solar wind physics, space plasmas, kinetic microinstabilities, and space mission development. His work involves theoretical, computational, and observational approaches to understanding plasma turbulence and magnetic reconnection in space environments. He has made significant contributions to understanding energy transfer in magnetohydrodynamic turbulence, solar wind dynamics, and particle acceleration mechanisms. His recent publications demonstrate a continued focus on multiscale plasma phenomena, with particular attention to turbulence in the solar wind, magnetosheath, and near-Sun environments. The research utilizes data from multiple spacecraft missions including Parker Solar Probe, MMS, and HelioSwarm, combined with sophisticated numerical simulations. James Clerk Maxwell Prize in Plasma Physics (2019) from the American Physical Society James B. Macelwane Award from the American Physical Society University of Delaware College of Arts & Sciences Scholarship Award Fellow of the American Physical Society Fellow of the American Geophysical Union Fellow of the American Association for the Advancement of Science Fellow of The Institute of Physics Dr. Matthaeus serves as director of the Delaware NASA Space Grant Consortium and the Delaware NASA EPSCoR program. He is a co-investigator on several major spacecraft missions including Cluster/PEACE, the Magnetospheric Multiscale mission, the Parker Solar Probe ISOIS instruments, the Interstellar Mapping and Acceleration Probe, PUNCH and Helioswarm. For over a decade, he has organized the Arcetri Workshop on Plasma Astrophysics in Florence, Italy, fostering international collaboration in the field. His research group at the Bartol Research Institute maintains active collaborations with scientists worldwide and contributes to advancing our understanding of fundamental plasma processes that govern space weather and astrophysical phenomena.

Nuno F. Loureiroمشاهده پروفایل

استاد

• Plasma Physics
• Magnetic Reconnection
• Fusion Energy
• +۵ مورد دیگر

Nuno F. Loureiro is Professor of Nuclear Science and Engineering and the Herman Feshbach (1942) Professor of Physics at MIT, and serves as Director of MIT's Plasma Science and Fusion Center (PSFC) since May 2024. He holds joint appointments in MIT's School of Engineering and School of Science, and is affiliated with the MIT Kavli Institute for Astrophysics and Space Research and the MIT Energy Initiative. Director, Plasma Science and Fusion Center (2024-present) Professor of Nuclear Science and Engineering (2016-present) Herman Feshbach (1942) Professor of Physics (current) Loureiro earned his MEng in Physics from Instituto Superior Técnico in Lisbon (2000) and his PhD in Physics from Imperial College London (2005). He completed postdoctoral work at Princeton Plasma Physics Laboratory (2005-07) and UKAEA Culham Centre for Fusion Energy (2007-09) before returning to lead the Theory and Modeling Group at the Institute for Plasmas and Nuclear Fusion at IST Lisbon. Loureiro's research focuses on fundamental aspects of magnetized plasma dynamics, with particular emphasis on magnetic reconnection, magnetic field generation and amplification, confinement and transport in fusion plasmas, and turbulence in strongly magnetized, weakly collisional plasmas. His work bridges theoretical physics with computational simulations using state-of-the-art tools like the Viriato code, which he developed for reduced-gyrokinetic modeling. His research has significant implications for both understanding cosmic phenomena and advancing practical fusion energy solutions. Analysis of Loureiro's recent publications reveals a strong focus on magnetic reconnection mechanisms across multiple scales, from electron-only reconnection to relativistic plasma turbulence. His work increasingly incorporates computational innovations, including quantum computing approaches for plasma modeling. The research spans applications from solar physics and astrophysical phenomena to practical fusion energy challenges, demonstrating the unifying nature of plasma physics across disciplines. NSF Presidential Early Career Award for Scientists and Engineers (PECASE) (2025) American Physical Society Fellow (2022) NSF CAREER Award (2017) Thomas H. Stix Award for Outstanding Early Career Contributions (2015) Loureiro leads the Loureiro Group at MIT, which conducts research at the interface of analytical theory and numerical simulations on supercomputers. His laboratory has developed the Viriato code for plasma simulations and investigates phenomena relevant to both fusion energy and astrophysical plasmas. As Director of the PSFC, he oversees one of MIT's largest research laboratories with over 250 full-time researchers, staff members, and students working across 250,000 square feet of lab space.

Rui Niمشاهده پروفایل

دانشیار

• Experimental Fluid Mechanics
• Turbulence and Turbulent Multiphase Flow
• Dusty Flow and Particle-Laden Flow
• +۵ مورد دیگر

Rui Ni is an associate professor in the Department of Mechanical Engineering at Johns Hopkins University, directing the Fluid Transport Lab. His research focuses on experimental fluid mechanics, turbulence, multiphase flows, and their applications in energy systems, environmental engineering, and physiological processes. He holds a PhD in Physics from the Chinese University of Hong Kong (2011), followed by postdoctoral work at Yale and Wesleyan Universities. Before joining JHU, he held the Kenneth Kuan-Yun Kuo Early Career Professorship at Penn State University. His research interests include dusty flows, Lagrangian particle tracking, and animal collective behaviors. Notable projects include collaborations with NASA on plume-surface interaction and the development of advanced diagnostic tools like physics-informed machine learning and 3D particle tracking. He has received prestigious awards, including the NSF CAREER Award and ACS-PRF New Investigator Award, and leads studies on turbulence modulation by deformable bubbles, fish schooling efficiency in turbulent environments, and interfacial mass transfer dynamics. Key Projects: Plume-Surface Interaction (NASA collaboration), Fish Aquarium with Turbulent Environment (FATE) facility, V-ONSET multiphase flow facility. Grants: Gordon and Betty Moore Foundation’s Experimental Physics Investigators Initiative Grant. Lab Focus: Experimental and computational studies of multiphase flows, physiological flows, and complex systems. Ni’s work bridges fundamental fluid dynamics with practical applications, such as improving energy efficiency and understanding biological systems like fish schooling and nasal drug delivery mechanisms.

Hrvoje Jasakمشاهده پروفایل

استاد

• Computational Fluid Dynamics (CFD)
• Continuum Mechanics
• Numerical Simulation Methods
• +۵ مورد دیگر

Hrvoje Jasak is a Professor of Continuum Physics at the Department of Physics (Cavendish Laboratory), University of Cambridge. He holds a fellowship at Christ’s College. His academic journey includes a BSc in Mechanical Engineering from the University of Zagreb (1992) and a PhD in CFD from Imperial College London (1996). Prior to academia, he held engineering roles at CD-adapco (now Siemens PLM), Nabla Ltd, and Ansys-Fluent Inc., contributing to CFD software development. His research focuses on numerical simulation methods, continuum physics, multiphase flows, naval hydrodynamics, and software development. He co-created OpenFOAM, chairs its Numerics Technical Committee, and leads the Computational Continuum Mechanics (CCM) research group within the Laboratory for Scientific Computing. His work integrates advanced numerical techniques like the partially rotating grid method, finite volume algorithms, and multiphysics coupling frameworks. Jasak is a seasoned developer with 25+ years of C++ expertise, having authored ~1 million lines of code. His group’s projects include the Naval Hydro Pack , fluid-structure interaction solvers, and the Eulerian multi-fluid model for dense sprays. He actively collaborates on international initiatives like the NUMAP-FOAM Summer School and the OpenFOAM community. His teaching spans MPhil programs, PhD supervision, and specialized CFD courses. Current research explores wave-ice interaction, lubricated contact modeling, and open-source software innovation. The CCM group’s work bridges academia and industry, addressing challenges in marine engineering, energy systems, and computational mechanics.