A matched interface and boundary method for solving multi-flow Navier-Stokes equations with applications to geodynamics

DOI10.1016/j.jcp.2011.09.010zbMath1426.76586OpenAlexW2048221940MaRDI QIDQ425615

J. Herrera, H. S. Yoon

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.09.010

zbMATH Keywords

stabilityNavier-Stokes equationsprojection methodjump conditionsgeophysicsnon-staggered gridinterface methodmulti-flow

Mathematics Subject Classification ID

Related Items (18)

Immersed finite element approximation for semi-linear parabolic interface problems combining with two-grid methods ⋮ An efficient multigrid method for semilinear interface problems ⋮ High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces ⋮ A second order virtual node algorithm for Navier-Stokes flow problems with interfacial forces and discontinuous material properties ⋮ Second order method for solving 3D elasticity equations with complex interfaces ⋮ Meshless and Multi-Resolution Collocation Techniques for Steady State Interface Models ⋮ A Galerkin formulation of the MIB method for three dimensional elliptic interface problems ⋮ A modified algorithm based on Haar wavelets for the numerical simulation of interface models ⋮ Two-grid methods of finite element solutions for semi-linear elliptic interface problems ⋮ Building Blocks for a Strictly Conservative Generalized Finite Volume Projection Method for Zero Mach Number Two-Phase Flows ⋮ MIB Galerkin method for elliptic interface problems ⋮ Unnamed Item ⋮ Local meshless methods for second order elliptic interface problems with sharp corners ⋮ Meshless and multi-resolution collocation techniques for parabolic interface models ⋮ High-order difference potentials methods for 1D elliptic type models ⋮ High-order accurate difference potentials methods for parabolic problems ⋮ Matched interface and boundary method for elasticity interface problems ⋮ Finite volume formulation of the MIB method for elliptic interface problems

Uses Software

• Geoframework
• IIMPACK

Cites Work

• Unnamed Item
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• Accurate projection methods for the incompressible Navier-Stokes equations
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• The immersed interface method for the Navier-Stokes equations with singular forces

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