A high-order finite difference method for moving immersed domain boundaries and material interfaces

Gabbard, James; van Rees, Wim M.

doi:10.1016/j.jcp.2024.112979

Journal of Computational Physics

2024

DOI: 10.1016/j.jcp.2024.112979

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A high-order finite difference method for moving immersed domain boundaries and material interfaces

James Gabbard,

Wim M. van Rees

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2024

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Cited by 2 publications

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An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions

Hou,

Colonius

2024

Journal of Computational Physics

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An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions

Hou,

Colonius

2024

Journal of Computational Physics

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High-order finite-difference ghost-point methods for elliptic problems in domains with curved boundaries

Coco,

Russo

2024

Open Mathematics

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In this article, a fourth-order finite-difference ghost-point method for the Poisson equation on regular Cartesian mesh is presented. The method can be considered the high-order extension of the second-order ghost method introduced earlier by the authors. Three different discretizations are considered, which differ in the stencil that discretizes the Laplacian and the source term. It is shown that only two of them provide a stable method. The accuracy of such stable methods is numerically verified on several test problems.

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A high-order finite difference method for moving immersed domain boundaries and material interfaces

Cited by 2 publications

References 61 publications

An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions

An adaptive lattice Green's function method for external flows with two unbounded and one homogeneous directions

High-order finite-difference ghost-point methods for elliptic problems in domains with curved boundaries

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