A monolithic homotopy continuation algorithm with application to computational fluid dynamics

DOI10.1016/j.jcp.2016.05.031zbMath1349.65175OpenAlexW2401273211MaRDI QIDQ726906

David W. Zingg, David A. Brown

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.05.031

zbMATH Keywords

computational fluid dynamicsNewton-Krylovglobalizationhomotopycontinuation

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items

Design and evaluation of homotopies for efficient and robust continuation ⋮ Monolithic homotopy continuation with predictor based on higher derivatives ⋮ A novel approach to mesh optimization to stabilize unstructured finite volume simulations ⋮ Matrix-free monolithic homotopy continuation with application to computational aerodynamics ⋮ Efficient dissipation-based nonlinear solver for multiphase flow in discrete fractured media ⋮ A Jacobian-free approximate Newton-Krylov startup strategy for RANS simulations ⋮ A TFC-based homotopy continuation algorithm with application to dynamics and control problems ⋮ Dissipation-based continuation method for multiphase flow in heterogeneous porous media

Uses Software

• Spalart-Allmaras

Cites Work

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