Computational bifurcation and stability studies of the 8: 1 thermal cavity problem

DOI10.1002/fld.392zbMath1047.76053OpenAlexW1981362671MaRDI QIDQ4805211

R. P. Pawlowski, John N. Shadid, Andrew G. Salinger, Richard B. Lehoucq

Publication date: 11 May 2003

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.392

zbMATH Keywords

stabilityeigenvaluesfinite elementbifurcationsparallel computersCFD

Mathematics Subject Classification ID

Related Items (10)

Numerical continuation of high Reynolds number external flows ⋮ Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems ⋮ BIFURCATION TRACKING ALGORITHMS AND SOFTWARE FOR LARGE SCALE APPLICATIONS ⋮ A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems ⋮ Linear stability of flow in a differentially heated cavity via large‐scale eigenvalue calculations ⋮ AN INITIAL STUDY OF THE FLOW AROUND AN AEROFOIL AT HIGH REYNOLDS NUMBERS USING CONTINUATION ⋮ Parallel adaptive solution of coupled Rayleigh-Bénard-Marangoni problems with the Navier-slip ⋮ Numerical experiments with MG continuation algorithms ⋮ A monolithic FEM-multigrid solver for non-isothermal incompressible flow on general meshes ⋮ Bifurcation Tracking for High Reynolds Number Flow Around an Airfoil

Uses Software

• AztecOO
• ARPACK
• LOCA
• MPSalsa
• P - ARPACK
• Aztec

Cites Work

• Unnamed Item
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• Similarity invariants for a class of linear controlled systems
• ARPACK Users' Guide
• Numerical Methods for Bifurcations of Dynamical Equilibria

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