Implicit Solvers for Unstructured Meshes

Abstract

We develop and test implicit methods for unstructured mesh computations. The approximate system which arises from the Newton linearization of the nonlinear operator is solved by using the preconditioned GMRES (generalized Minimum Residual) technique. We investigate three different preconditioners, namely, the incomplete LU factorization (ILU), block diagonal factorization and the symmetric successive over-relaxation (SSOR). The preconditioners have been optimized to have good vectorization properties. We also study SSOR and ILU themselves as iterative schemes. The various methods are compared over a wide range of problems. Ordering of the unknowns, which affects the convergence of these sparse matrix iterative methods, is also investigated. Results are presented for inviscid and turbulent viscous calculations on single and multi-element airfoil configurations using globally and adaptively generated meshes.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1991
Accession Number
ADA237203

Entities

People

  • Dimitri J. Mavriplis
  • V. Venkatakrishnan

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Convergence
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Numerical Analysis
  • Pressure Distribution
  • Reynolds Number
  • Sparse Matrix
  • Steady State
  • Turbulent Flow

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research