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An Object-Oriented Toolkit for Solving Partial Differential Equations in Complex Geometry

Turbulent flow past two spheres (vorticity) (Cgins). SSLES turbulence model.

Cgins: Incompressible Flow Solver

1. Efficient split-step scheme.
2. 2nd-order and 4th-order accurate approximations (DNS and LES).
3. support for moving rigid-bodies.
4. heat transfer (Boussinesq approximation).
5. time stepping schemes:
   1. approximate factored scheme,
   2. predictor corrector explicit and semi-implicit (time accurate)
   3. pseudo steady-state (efficient line solver), full implicit.
   4. full implicit.
6. Pressure equation can be solved with multigrid or any PETSc solvers (e.g. Krylov).
7. SSLES turbulence model.

Videos

Documentation

• "Cgins User Guide", user guide for the Cgins incompressible flow solver.
• "Cgins Reference Manual", reference manual for the Cgins incompressible flow solver. This manual has a section with a large collection of sample simulations that show the capabilties of Cgins.

Cgins related publications and talks

1. Fanlong Meng, Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman.
   Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier-Stokes equations on moving overlapping grids.
   Computer Methods in Applied Mechanics and Engineering, 366, 2020.
   publications/FourthOrderAccurateFractionalStepIMEXSchemeForINSOnMovingGrids_MengBanksHenshawSchwendeman2020.pdf.
   
2. Daniel A. Serino, Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman.
   A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow.
   J. Comput. Phys., 399:1-30, 2019.
   publications/AStableAddedMassPartitionedAlgorithmForElasticSolidsAndIncompressibleFlow_SerinoBanksHenshawSchwendeman2019.pdf.
   
3. Daniel A. Serino, Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman.
   A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow: Model problem analysis.
   SIAM J. Sci. Comput., 41(4):A2464-A2484, 2019.
   publications/AStableAddedMassPartitionedAlgorithmForElasticSolidsAndIncompressibleFlowModelProblemAnalysis_SerinoBanksHenshawSchwendeman2019.pdf.
   
4. Jeffrey W. Banks, William D. Henshaw, Donald W. Schwendeman, and Qi Tang.
   A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions.
   J. Comput. Phys., 373:455-492, 2018.
   publications/AStablePartitionedFSIAlgorithmForRigidBodiesAndIncompressibleFlowInThreeDimensions_BanksHenshawSchwendemanTang2018.pdf.
   
5. Jeffrey W. Banks, William D. Henshaw, Donald W. Schwendeman, and Qi Tang.
   A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation.
   J. Comput. Phys., 343:469-500, 2017.
   publications/AStablePartitionedFSIAlgorithmForRigidBodiesAndIncompressibleFlowPartII_BanksHenshawSchwendemanTang.pdf.
   
6. Jeffrey W. Banks, William D. Henshaw, Donald W. Schwendeman, and Qi Tang.
   A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis.
   J. Comput. Phys., 343:432-468, 2017.
   publications/AStablePartitionedFSIAlgorithmForRigidBodiesAndIncompressibleFlowPartI_BanksHenshawSchwendemanTang.pdf.
   
7. A.R. Koblitz, S. Lovett, N. Nikiforakis, and William D. Henshaw.
   Direct numerical simulation of particulate flows with an overset grid method.
   J. Comput. Phys., 343:414-431, 2017.
   
8. Longfei Li, William D. Henshaw, Jeffrey W. Banks, Donald W. Schwendeman, and Geoffrey A. Main.
   A stable partitioned FSI algorithm for incompressible flow and deforming beams.
   J. Comput. Phys., 312:272-306, 2016.
   publications/AStablePartitionedFSIAlgorithmForIncompressibleFlowAndDeformingBeams_Li_Henshaw_Banks_Schwendeman_Main_2016.pdf.
   
9. W. D. Henshaw.
   Solving fluid structure interaction problems on overlapping grids, 2012.
   Talk, MIT Distinguished Speaker Series, Massachusetts Institute of Technology, Cambridge Massachusetts, September 20, 2012, publications/mit12.pdf.
   
10. T.M. Broering, Y Lian, and W.D. Henshaw.
    Numerical investigation of energy extraction in a tandem flapping wing configuration.
    AIAA Journal, 50(11):2295-2307, 2012.
    
11. Muheng Zhang, Yongsheng Lian, Cindy Harnett, and Ellen Brehob.
    Investigation of hydrodynamic focusing in a microfluidic Coulter counter device.
    ASME J. of Biofluidmechanical Engineering, (accepted), 2012.
    
12. K.K. Chand and M.A. Singer.
    Verification and validation of CgWind: a high-order accurate simulation tool for wind engineering.
    In 13th International Conference on Wind Engineering (ICWE13), 2011.
    (8 pages) publications/cgWindChandSinger2011.pdf.
    
13. M. A. Singer and S. L. Wang.
    Modeling blood flow in a tilted inferior Vena Cava filter: Does tilt adversely affect hemodynamics?
    Journal of Vascular and Interventional Radiology, 22:229-235, 2011.
    
14. J. E. Guerrero.
    Aerodynamic performance of cambered heaving airfoils.
    AIAA Journal, 48(11):2694-2698, 2010.
    
15. D. D. J. Chandar and M. Damodaran.
    Numerical study of the free flight characteristics of a flapping wing in low Reynolds numbers.
    AIAA J. Aircraft, 47(1):141-150, 2010.
    
16. S. L. Wang and M. A. Singer.
    Toward an optimal position for inferior Vena Cava filters: Computational modeling of the impact of renal vein inflow with Celect and Trapease filters.
    Journal of Vascular and Interventional Radiology, 21:367-374, 2010.
    
17. M. A. Singer, S. L. Wang, and D. P. Diachin.
    Design optimization of Vena Cava filters: an application to dual filtration devices.
    Journal of Biomechanical Engineering, 132(10):10 pages, 2010.
    
18. M. A. Singer, W. D. Henshaw, and S. L. Wang.
    Computational modeling of blood flow in the Trapease inferior Vena Cava filter.
    Journal of Vascular and Interventional Radiology, 20:S136-S137, 2009.
    
19. William D. Henshaw and Kyle K. Chand.
    A composite grid solver for conjugate heat transfer in fluid-structure systems.
    J. Comput. Phys., 228:3708-3741, 2009.
    publications/henshawChandCHT2009.pdf.
    
20. D. D. J. Chandar and M. Damodaran.
    Computational study of unsteady low-Reynolds-number airfoil aerodynamics using moving overlapping meshes.
    AIAA Journal, 46(2):429-438, 2008.
    
21. William D. Henshaw and N. Anders Petersson.
    A split-step scheme for the incompressible Navier-Stokes equations.
    In M. M. Hafez, editor, Numerical Simulation of Incompressible Flows, pages 108-125. World Scientific, 2003.
    publications/henshawPetersson2001.pdf.
    
22. P. Fast and W. D. Henshaw.
    Time-accurate computation of viscous flow around deforming bodies using overset grids.
    AIAA paper 2001-2604, American Institute of Aeronautics and Astronautics, 2001.
    
23. William D. Henshaw.
    A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids.
    J. Comput. Phys., 113(1):13-25, July 1994.
    publications/icns1994.pdf.
    
24. William D. Henshaw, H.-O. Kreiss, and L. G. M. Reyna.
    A fourth-order accurate difference approximation for the incompressible Navier-Stokes equations.
    Comput. Fluids, 23(4):575-593, 1994.
    publications/HenshawKreissReynaFouthOrderINS1994.pdf.
    
25. William D. Henshaw, L. G. M. Reyna, and J. A. Zufiria.
    Compressible Navier-Stokes computations for slider air-bearings.
    Journal of Tribology, 113:73-79, 1991.