Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers (Q2738960)

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scientific article; zbMATH DE number 1643271
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Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers
scientific article; zbMATH DE number 1643271

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    Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers (English)
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    2001
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    rotating disk reactor
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    The authors investigate the stability of steady incompressible flow with heat transfer in a three-dimensional disk reactor. Linear stability analysis leads to an eigenvalue problem that is reformulated by a generalized Cayley transformation. Numerical solution for matrix system of order up to 4 million by using available software packages on a massively parallel computer with 1024 processors detects a Hopf bifurcation for Grashof numbers 14000--14500.
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