Parallel adaptive simulations on unstructured meshes

This paper discusses methods being developed by the ITAPS center to support the execution of parallel adaptive simulations on unstructured meshes. The paper first outlines the ITAPS approach to the development of interoperable mesh, geometry and field services to support the needs of SciDAC application in these areas. The paper then demonstrates the ability of unstructured adaptive meshing methods built on such interoperable services to effectively solve important physics problems. Attention is then focused on ITAPs' developing ability to solve adaptive unstructured mesh problems on massively parallel computers.

[1]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[2]  Roman Samulyak,et al.  A magnetohydrodynamic simulation of pellet ablation in the electrostatic approximation , 2007 .

[3]  Mark S. Shephard,et al.  Accounting for curved domains in mesh adaptation , 2003 .

[4]  Charles A. Taylor,et al.  In Vivo Validation of Numerical Prediction of Blood Flow in Arterial Bypass Grafts , 2002, Annals of Biomedical Engineering.

[5]  Lie-Quan Lee,et al.  Achievements in ISICs/SAPP collaborations for electromagnetic modeling of accelerators , 2005 .

[6]  Onkar Sahni,et al.  Adaptive boundary layer meshing for viscous flow simulations , 2008, Engineering with Computers.

[7]  Mark S. Shephard,et al.  Parallel refinement and coarsening of tetrahedral meshes , 1999 .

[8]  G. Hulbert,et al.  A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method , 2000 .

[9]  Can C. Özturan,et al.  Parallel Automatic Adaptive Analysis , 1997, Parallel Comput..

[10]  Robert M. O'Bara,et al.  Attribute Management System for Engineering Analysis , 2002, Engineering with Computers.

[11]  Robert M. O'Bara,et al.  Adaptive mesh generation for curved domains , 2005 .

[12]  Kenneth E. Jansen,et al.  A stabilized finite element method for the incompressible Navier–Stokes equations using a hierarchical basis , 2001 .

[13]  Frédéric Alauzet,et al.  Parallel anisotropic 3D mesh adaptation by mesh modification , 2006, Engineering with Computers.

[14]  Charles A. Taylor,et al.  Efficient anisotropic adaptive discretization of the cardiovascular system , 2006 .

[15]  Courtenay T. Vaughan,et al.  Zoltan data management services for parallel dynamic applications , 2002, Comput. Sci. Eng..

[16]  Carlo L. Bottasso,et al.  Parallel Adaptive Finite Element Euler Flow Solver for Rotary Wing Aerodynamics , 1997 .

[17]  T. Hughes,et al.  A multi-element group preconditioned GMRES algorithm for nonsymmetric systems arising in finite element analysis , 1989 .

[18]  S. Dey,et al.  Hierarchical basis for stabilized finite element methods for compressible flows , 2003 .

[19]  Kenneth E. Jansen,et al.  A better consistency for low-order stabilized finite element methods , 1999 .

[20]  E. S. Oran,et al.  A Fond Farewell and a Warm Welcome , 1997 .

[21]  Timothy J. Tautges,et al.  Interoperable mesh and geometry tools for advanced petascale simulations , 2007 .

[22]  Mark S. Shephard,et al.  3D anisotropic mesh adaptation by mesh modification , 2005 .

[23]  Timothy J. Tautges,et al.  Toward interoperable mesh, geometry and field components for PDE simulation development , 2007, Engineering with Computers.

[24]  K. Jansen.  A stabilized finite element method for computing turbulence , 1999 .

[25]  Kenneth E. Jansen,et al.  Geometry based pre-processor for parallel fluid dynamic simulations using a hierarchical basis , 2008, Engineering with Computers.

[26]  Elbridge Gerry Puckett.  Final Report- "An Algorithmic and Software Framework for Applied Partial Differential Equations (APDEC): A DOE SciDAC Integrated Software Infrastructure Center (ISIC) , 2008 .

[27]  Mark S. Shephard,et al.  Efficient distributed mesh data structure for parallel automated adaptive analysis , 2006, Engineering with Computers.