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Cgsm simulation

Diffraction of a p-wave shock by a circular cavity (velocity) showing the boundaries of the adaptive grids.

Cgsm: A Solver for the Elastic Wave Equation

  1. time dependent linear elasticity in 2D and 3D.
  2. fast and memory efficient.
  3. dynamic adaptive mesh refinement.
  4. second-order accurate upwind Godunov scheme for the first-order-system.
  5. second-order accurate conservative finite difference scheme for the second-order system.
  6. large strain nonlinear models (SVK, neo-Hookean) under development.

Videos

Documentation

Cgsm related publications and talks

  1. 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.
  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: Model problem analysis.
    SIAM J. Sci. Comput., 41(4):A2464-A2484, 2019.
    publications/AStableAddedMassPartitionedAlgorithmForElasticSolidsAndIncompressibleFlowModelProblemAnalysis_SerinoBanksHenshawSchwendeman2019.pdf.
  3. Jeffrey W. Banks, William D. Henshaw, A.K. Kapila, and Donald W. Schwendeman.
    An added-mass partitioned algorithm for fluid-structure interactions of compressible fluids and nonlinear solids.
    J. Comput. Phys., 305:1037-1064, 2016.
    publications/AddedMassPartitionedFSIofCompressibleFluidsAndNonlinearSolids_Banks_Henshaw_Kapila_Schwendeman_2016.pdf.
  4. Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman.
    Deforming composite grids for solving fluid structure problems.
    J. Comput. Phys., 231(9):3518-3547, 2012.
    publications/BanksHenshawSchwendemanDeformingCompositeGrids.pdf.
  5. Daniel Appelö, Jeffrey W. Banks, William D. Henshaw, and Donald W. Schwendeman.
    Numerical methods for solid mechanics on overlapping grids: Linear elasticity.
    J. Comput. Phys., 231(18):6012-6050, 2012.
    publications/AppeloBanksHenshawSchwendemanSmog2012.pdf.