On the Jump Conditions for an Immersed Interface Method

DOI10.1137/140989856zbMath1336.35284OpenAlexW2346470629MaRDI QIDQ2805011

Jérôme Morin-Drouin, Mounir Bennoune, Robert G. Owens

Publication date: 9 May 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140989856

zbMATH Keywords

Navier-Stokes equationsimmersed interface methodjump conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

A superconsistent collocation method for high Reynolds number flows ⋮ An Unfitted Formulation for the Interaction of an Incompressible Fluid with a Thick Structure via an XFEM/DG Approach

Uses Software

• IIMPACK

Cites Work

• An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries
• An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries
• An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane
• An augmented approach for Stokes equations with a discontinuous viscosity and singular forces
• Application of a fractional-step method to incompressible Navier-Stokes equations
• An overview of the immersed interface method and its applications
• A second-order projection method for the incompressible Navier-Stokes equations
• Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
• The immersed boundary method
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
• An Immersed Interface Method for Incompressible Navier--Stokes Equations
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Systematic Derivation of Jump Conditions for the Immersed Interface Method in Three-Dimensional Flow Simulation
• The Immersed Interface Method
• Accurate projection methods for the incompressible Navier-Stokes equations
• A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
• The immersed interface method for the Navier-Stokes equations with singular forces

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