Implementation and Testing of LUSSOR Implicit Time Stepping Method in a Multi-block Code

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Implementation and Testing of LUSSOR Implicit Time Stepping Method in a Multi-block Code

Manoj T. Nair,Saxena, SK-2003-10-01-Institutional Repository @ NAL (University of Southampton)

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TL;DRAbstract

The aim of the present work is to incorporate the implicit13; time-stepping procedure called Lower-Upper Symmetric Successive Over Relaxation (LU-SSOR) into the code MB-EURANIUM. Three different variants of the method are implemented into the code. The rest is a matrix-free version method. The second is a full-matrix version and the third is a simplication of the full-matrix version with scalar diagonal. The full matrix version can either use ux vector13; splitting or Roe's formulation to obtain the implicit matrix. The code is tested on two standard test cases and the results are compared with available experimental data.

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The aim of the present work is to incorporate the implicit13; time-stepping procedure called Lower-Upper Symmetric Successive Over Relaxation (LU-SSOR) into the code MB-EURANIUM. Three different variants of the method are implemented into the code. The rest is a matrix-free version method. The second is a full-matrix version and the third is a simplication of the full-matrix version with scalar diagonal. The full matrix version can either use ux vector13; splitting or Roe's formulation to obtain the implicit matrix. The code is tested on two standard test cases and the results are compared with available experimental data.

Keywords

Code (set theory)Matrix (chemical analysis)AlgorithmBlock matrixDiagonalDiagonal matrixComputer scienceTime stepping

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