Resources
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Visualizations
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A. Amritkar, D. Tafti, "Bat Wing Simulation on GPU and CPU" (PPTX).
CPU
GPU
Windows Media: CPU (9.5 MB), GPU (7.2 MB); Quicktime Movie: CPU (2.2 MB), GPU (1.9 MB).
Publications
- L. Luo, J. R. Edwards, H. Luo, F. Mueller, “Fine-grained Optimizations of Implicit Algorithms in An Incompressible Navier-Stokes Solver on GPGPU,” AIAA Aviation and Aeronautics Forum and Exposition, Dallas, TX, 2015. CFD Comp
- Amritkar, Amit, Danesh Tafti, CFD computations using a preconditioned Krylov solver on GPUs, Journal of Fluids Engineering. (accepted, in press) CFD Math Comp
- Amritkar, Amit, de Sturler, E., Swirydowicz, K., Tafti, D., Ahuja, K. “Recycling Krylov subspaces for CFD applications” Journal of Computational Physics. (under review) CFD Math
- L. Luo, J. R. Edwards, A Fine-grained Block ILU Scheme on Regular Structures for GPGPU, Computers ∓ Fluids. (in press) CFD Math Comp
- H. Zhang, A. Sandu, and S. Blaise: High Order Implicit–Explicit General Linear Methods with Optimized Stability Regions, SIAM Journal on Scientific Computing. (submitted) Math
- N. Balasubramanian , F. Mueller, “ScalaMemAnalysis: Compositional Cache Analysis of Compressed Memory Traces”. (submitted) Comp
- P. Sathre, A. Amritkar, S. Chivukula, K. Hou, D. Tafti, W. Feng, "Towards a Methodology for Co-Design of Accelerator-Aware CFD Applications". (in preparation) CFD Comp
- K. Swirydowicz, E. de Sturler, C.J. Roy, X. Xu, “Efficient Solvers and Preconditioners on GPUs for CFD Applications”. (in preparation) CFD Math Comp
- A. Grim McNally, E. de Sturler, S. Gugercin, “Updating Preconditioners for Parameterized Linear Systems”. (in preparation) Math
- A. Grim McNally (advised by E. de Sturler), Reusing and Updating Preconditioners for Sequences of Matrices, MS Thesis, Department of Mathematics, Virginia Tech. Math
- Zharovsky, A. Sandu, and H. Zhang: “A Class of IMEX Two-step Runge-Kutta Methods”. SIAM Journal on Numerical Analysis, Vol. 53, No. 1, pp. 321–341, 2015. Math
- Y. Xia, J. Lou, H. Luo, J. Edwards, and F. Mueller, OpenACC Acceleration of an Unstructured CFD Solver Based on a Reconstructed Discontinuous Galerkin Method for Compressible Flows, International Journal for Numerical Methods in Fluids, DOI: 10.1002/fld.4009, 2015. CFD Comp
- A. Sandu: “Rosenbrock Methods with an Explicit First Stage for Mildly Stiff PDEs”. International Journal of Computer Mathematics, in print, 2015. Math
- A. Sandu and M. Guenther: “A Generalized-Structure View of Additive Runge-Kutta Methods”. SIAM Journal on Numerical Analysis, Vol. 53, Issue 1, pp. 17–42, 2015 Math
- L. Luo, J. R. Edwards, H. Luo, F. Mueller, Advanced Optimizations of An Implicit Navier-Stokes Solver on GPGPU based on a Fine-grained BILU solver, 53rd AIAA Aerospace Sciences Meeting (SciTech), Kissimmee, FL, 2015. CFD Comp
- M. Guenther and A. Sandu: “Multirate GARK Schemes”, Computational Techniques for Time Dependent Coupled Multiphysics and Multiscale Problems mini symposium MS6, SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, March 3–18, 2015. Math
- Sandu and M. Guenther: Generalized Structure Additive Runge-Kutta Methods, Advances in Time-stepping Methods minisymposium MS136, SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, March 3–18, 2015. Math
- P. Tranquilli, A. Sandu, and R. Glandon: “K-Methods, an Extension of Exponential and Rosenbrock Time Integrators”, Advances in Time-stepping Methods minisymposium MS136, SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, March 3–18, 2015. Math
- J. M. Derlaga, T. S. Phillips, and C. J. Roy, SENSEI Computational Fluid Dynamics Code: A Case Study in Modern Fortran Software Development” manuscript submitted to Computers and Fluids, February 2015. CFD
- J. Lou, Y. Xia, L. Luo, H. Luo, J. Edwards, and F. Mueller, “OpenACC-Based GPU Acceleration of a p-multigrid Discontinuous Galerkin Method for Compressible Flows on 3D Unstructured Grids”, AIAA-2015-0822, 53rd AIAA Aerospace Sciences Meeting, Kissimmee, FL, January 5-9, 2015. CFD Comp
- P. Tranquilli and A. Sandu: “Exponential-Krylov Methods for Ordinary Differential Equations”. Journal of Computational Physics, Vol. 278, pp. 31–46, 2014. Math
- Zhang and A. Sandu: “FATODE: A Library for Forward, Adjoint, and Tangent Linear Integration of ODEs”. SIAM Journal on Scientific Computing, Vol. 36, No. 5, pp. 504–523, 2014. Math
- A. Cardone, Z. Jackiewicz, A. Sandu, and H. Zhang: “Extrapolated IMEX Runge-Kutta Methods”. Mathematical Modelling and Analysis, Vol. 19, No. 1, pp. 18–43, 2014. Math
- H. Zhang, A. Sandu, and S. Blaise: “Partitioned and Implicit-Explicit General Linear Methods for ODEs”. Journal on Scientific Computing, Vol. 61, Issue 1, pp. 119-144, 2014. Math
- A. Cardone, Z. Jackiewicz, A. Sandu, and H. Zhang: “Extrapolation-Based Implicit-Explicit General Linear Methods”, Numerical Algorithms, Vol. 65, Issue 3, pp. 377-399, 2014. Math
- L. Luo, J. R. Edwards, H. Luo, F. Mueller, “GPU port of a parallel incompressible Navier-Stokes solver based on OpenACC and MVAPICH2”, AIAA Aviation and Aeronautics Forum and Exposition, Atlanta, GA, 2014. CFD Comp
- H. Zhang and A. Sandu: “Application of implicit-explicit general linear methods to reaction-diffusion problems”, 4 pg., 12th International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2014, Rodos Palace Hotel, Rhodes,Greece, September 22–28 2014. Math
- H. Zhang, A. Sandu, and P. Tranquilli: “Application of Approximate Matrix Factorization to High-Order Linearly-Implicit Runge-Kutta Methods”, submitted to Journal of Computational and Applied Mathematics, paper CAM-D-14-01328, August 2014. Math
- A. Amritkar, D. Tafti, CFD computations using preconditioned Krylov solver on GPUs, ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting and 11th International Conference on Nanochannels, Microchannels, and Minichannels, FEDSM2014, August 2014, Chicago, Illinois, USA. CFD Comp
- Guenther, C. Hachtel, and A. Sandu: Multirate GARK Schemes for Multiphysics Problems, paper id82, the 10th International Conference on Scientific Computing in Electrical Engineering SCEE 2014, Wuppertal, Germany, July 22 - July 25, 2014. Math
- A. Cardone, Z. Jackiewicz, A. Sandu, and H. Zhang: “Implicit-Explicit Multivalue Methods for semi-discretized PDEs”. The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications, Madrid (Spain) July 7-11, 2014. AIMS Proceeding, supplement of Discrete & Continuous Dynamical Systems - Series S. Math
- Y. Xia, L. Luo, H. Luo, J. Edwards, J. Lou, and F. Mueller, ”On the Multi-GPU Computing of a Reconstructed Discontinuous Galerkin Method for Compressible Flows on 3D Hybrid Grids”, AIAA-2014-3081, 7th AIAA theoretical Fluid Mechanics Conference, Atlanta, GA, June 16-20, 2014 CFD Comp
- A. Amritkar, D. Tafti, P. Sathre, K. Hou, S. Chivukula, W. Feng, "Accelerating Bio-Inspired MAV Computations using GPUs", AIAA Aviation and Aeronautics Forum and Exposition 2014, June 2014, Atlanta, Georgia. CFD Comp
- N. Balasubramanian. “Scalamemanalysis: A compositional approach to cache analysis of compressed memory traces”, Master’s thesis, North Carolina State University, June 2014. Comp
- T. Scogland, W. Feng, B. Rountree, B. de Supinski, "CoreTSAR: Adaptive Worksharing for Heterogeneous Systems," International Supercomputing Conference, Leipzig, Germany, June 2014. Comp
- C. Li, Y. Yang, H. Dai, S. Yan, F. Mueller, H. Zhou, "Understanding the Tradeoffs between Software-Managed vs. Hardware-Managed Caches in GPUs", IEEE International Symposium on Performance Analysis of Systems and Software, March 2014. Comp
- L. Luo, J. R. Edwards, H. Luo, F. Mueller, "Performance Assessment of Multi-block LES Simulations using Directive-based GPU Computation in a Cluster Environment," 52nd AIAA Aerospace Sciences Meeting (SciTech), National Harbor, MD, January 2014. CFD Comp
- Y. Xia, H. Luo, L. Luo, J. Edwards, J. Lou, F. Mueller "OpenACC-based GPU Acceleration of a 3-D Unstructured Discontinuous Galerkin Method", 52nd AIAA Aerospace Sciences Meeting (SciTech), National Harbor, MD, January 2014. CFD Comp
- Y. Xia, L. Luo, H. Luo, J. Edwards, F. Mueller, "GPU Acceleration of a Reconstructed Discontinuous Galerkin Method for Compressible Flows on Unstructured Grids", 52nd AIAA Aerospace Sciences Meeting (SciTech), National Harbor, MD, January 2014. CFD Comp
- B. P. Pickering, C. W. Jackson, T. R. W. Scogland, W.-C. Feng, and C. J. Roy, “Directive-Based GPU Programming for Computational Fluid Dynamics,” 52nd AIAA Aerospace Sciences Meeting (SciTech), National Harbor, MD, January 2014. CFD Comp
- S. R. Glandon, P. Tranquilli, A. Sandu, “Acceleration of matrix-free time integration methods”, Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems (ScalA) at SC13, November 2013. Math
- E.M. Constantinescu and A. Sandu: “Extrapolated Multirate Methods for Differential Equations with Multiple Time Scales”. Journal of Scientific Computing, Vol. 56, Issue 1, pp. 28–44, 2013. Math
- Sandu and A. St-Cyr: “Stability Analysis of the Matrix-Free Linearly Implicit Euler Method”. Domain Decomposition Methods in Science and Engineering, R. Bank, M. Holst, O. Widlund, and J. Xu editors, Lecture notes in computational science and engineering Vol. 91, pp. 403–410, 2013. Math
- M. Guenther and A. Sandu: “Multirate Generalized Additive Runge-Kutta Methods”. Submitted to Numerische Mathematik, Oct. 2013. Math
- H. Zhang and A. Sandu et al.: “A Class of Implicit-Explicit General Linear Methods”. SciCADE, Valladolid, Spain, Sep. 15-20, 2013. Math
- M. Guenther and A. Sandu et al.: “Nonlinear Stability of Generalized Additive and Partitioned Implicit Multirate Runge-Kutta Schemes”. SciCADE, Valladolid, Spain, Sep. 15-20, 2013. Math
- P. Tranquilli and A. Sandu: “Rosenbrock-Krylov Time Stepping Methods”. SciCADE, Valldolid, Spain, Sep. 15-20, 2013. Math
- P. Tranquilli, A. Sandu, “Rosenbrock-Krylov Methods for Large Systems of Differential Equations” http://arxiv.org/abs/1305.5481, May 2013. Math
- J. M. Derlaga, T. S. Phillips, and C. J. Roy, “SENSEI Computational Fluid Dynamics Code: A Case Study in Modern Fortran Software Development,” AIAA Paper 2013-2450, 21st AIAA Computational Fluid Dynamics Conference, San Diego, CA, June 2013. CFD
- P. Tranquilli and A. Sandu: “Matrix-free Integrators for Large Discretized PDEs”, minisymposium MS98 at the SIAM Conference on Computational Science and Engineering, Boston, Massachusetts, Feb. 27–March 1, 2013. Math
- A. Sandu: “Two Classes of Implicit-Explicit General Linear Methods”. Auckland Numerical Ordinary Differential Equations Conference (ANODE 2013). International Conference in celebration of the 80th birthday of John Butcher. Department of Mathematics, University of Auckland, New Zealand, 7-11 Jan. 2013. Math
Abstracts and Posters
- E. de Sturler, K. Swirydowicz, C. J. Roy, A. Amritkar, and D. Tafti, “High Performance Multilevel Preconditioners on GPUs,” International Conference on Preconditioning Techniques for Scientific and Industrial Applications, Eindhoven, The Netherlands, June 17-19, 2015. CFD Math Comp
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E. de Sturler, “Preconditioning Strategies for GPUs”, Lawrence
Berkeley National Lab,
December 4-6, 2014. Math Comp -
P. Sathre, W. Feng, “MetaMorph: A Modular Library for
Democratizing the Acceleration of Parallel
Computing across Heterogeneous Devices”, Supercomputing 2014, November 2014, New Orleans,
Louisiana, USA. Comp - K. Swirydowicz, A. Amritkar, E. de Sturler, D. Tafti, "Recycling Krylov subspaces for CFD application", FEDSM2014, August 2014, Chicago, Illinois, USA. CFD Math
- K. Swirydowicz, E. de Sturler, X. Xu, and C. J. Roy, “Fast Solvers and Preconditioners,” 2014 Society of Industrial and Applied mathematics (SIAM) Annual Meeting, Chicago, IL, July 7-11, 2014. CFD Math
Presentations
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The AFOSR BRI Team, "Co-design of Hardware/Software for Predicting MAV Aerodynamics",
AFOSR BRI Mid Year Workshop, July 2015.
[All Workshop Materials] (70 MB)- Synergistic Co-Design of Hardware and Software for Structured and Unstructured Grid Computations.
- Fine-grained Adoption of Jocobian Matrix Filling in INCOMP3D.
- Collaborative Efforts in the Development of SENSEI.
- Development of a Portable, GPU-Accelerated Discontinuous Galerkin CFD Code for Compressible Flows on Unstructured Hybrid Grids.
- GenIDLEST Co-Design.
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The AFOSR BRI Team, "Co-design of Hardware/Software for Predicting MAV Aerodynamics",
AFOSR BRI Annual Workshop, December 2014. [Agenda]
[All Workshop Materials] (145 MB)- Opening Remarks and Overview of Project.
- Synergistic Co-Design of Hardware and Software for Structured and Unstructured Grid Computations.
- ScalaMemAnalysis: A Compositional Approach to Cache Analysis of Compressed Memory Traces.
- Recycling for CFD, Preconditioners for GPUs, and the Future.
- Co-design of time stepping algorithms for large aerodynamic simulations.
- Co-Design Update.
- GenIDLEST Co-Design.
- Development of a Portable, GPU-Accelerated Reconstructed Discontinuous Galerkin Code on Unstructured Hybrid Grids.
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The AFOSR BRI Team, "Co-design of Hardware/Software for Predicting MAV Aerodynamics",
AFOSR BRI Mid Year Workshop, July 2014.
[All Workshop Materials] (24 MB) -
The AFOSR BRI Team, "Co-design of Hardware/Software for Predicting MAV Aerodynamics",
AFOSR BRI Annual Workshop, Blacksburg, Virginia, February 2014. [Agenda]
[All Workshop Materials] (82 MB)- Opening Remarks and Overview of Project.
- Development of a Portable, GPU-Accelerated High-Order Discontinuous Galerkin CFD Code for Compressible Flows on Hybrid Grids (RDGFLO3D).
- Performance Assessment of A Multi-block Incompressible Navier-Stokes Solver using Directive-based GPU Programming in a Cluster Environment (INCOMP3D).
- GPU Acceleration of CFD Codes and Optimizing for GPU Memory Hierarchies (GPU & Memory).
- GPU Acceleration of the SENSEI CFD Code Suite (SENSEI).
- GenIDLEST Co-Design (GenIDLEST).
- Accelerated Solvers for CFD (Solvers).
- Co-design of Time-Stepping Algorithms for Large Aerodynamics Simulations (Time Discretization).
- Codifying and Applying a Methodology for Manual Co-Design and Developing an Accelerated CFD Library (Co-Design: CFD/Math/CS).
- Tool Chain for Co-Design (Co-Design: CS/Tools).
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The AFOSR BRI Team, "Co-design of Hardware/Software for Predicting MAV Aerodynamics",
AFOSR BRI Mid Year Workshop, July 2013.
[All Workshop Materials] (68 MB)
