A Spectacular Vector Penalty-Projection Method for Darcy and Navier-Stokes Problems

DOI10.1007/978-3-642-20671-9_5zbMath1246.65170OpenAlexW205123285MaRDI QIDQ2902070

Philippe Angot, Pierre Fabrie, Jean Paul Caltagirone

Publication date: 17 August 2012

Published in: Finite Volumes for Complex Applications VI Problems & Perspectives (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-20671-9_5

zbMATH Keywords

incompressible flowssplitting methodpenalty methodvector penalty-projectionanisotropic Darcy problemmultiphase Navier-Stokes/Brinkman

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free convection (76R10) Capillarity (surface tension) for incompressible viscous fluids (76D45) Fictitious domain methods for boundary value problems involving PDEs (65N85) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

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A new fast method to compute saddle-points in constrained optimization and applications ⋮ A hybrid collocated/staggered version of the fast vector penalty-projection method for dilatable fluids ⋮ An adaptive pressure correction method without spurious velocities for diffuse-interface models of incompressible flows ⋮ On the error estimates of the vector penalty-projection methods: Second-order scheme ⋮ Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy ⋮ A fast vector penalty-projection method for incompressible non-homogeneous or multiphase Navier-Stokes problems

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