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- W4297676003 abstract "A fourth-order finite volume embedded boundary (EB) method is presented for the unsteady Stokes equations. The algorithm represents complex geometries on a Cartesian grid using EB, employing a technique to mitigate the small cut-cell problem without mesh modifications, cell merging, or state redistribution. Spatial discretizations are based on a weighted least-squares technique that has been extended to fourth-order operators and boundary conditions, including an approximate projection to enforce the divergence-free constraint. Solutions are advanced in time using a fourth-order additive implicit-explicit Runge-Kutta method, with the viscous and source terms treated implicitly and explicitly, respectively. Formal accuracy of the method is demonstrated with several grid convergence studies, and results are shown for an application with a complex bio-inspired material. The developed method achieves fourth-order accuracy and is stable despite the pervasive small cells arising from complex geometries." @default.
- W4297676003 created "2022-09-30" @default.
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- W4297676003 date "2022-09-06" @default.
- W4297676003 modified "2023-09-25" @default.
- W4297676003 title "A Fourth-Order Embedded Boundary Finite Volume Method for the Unsteady Stokes Equations with Complex Geometries" @default.
- W4297676003 doi "https://doi.org/10.48550/arxiv.2209.02840" @default.
- W4297676003 hasPublicationYear "2022" @default.
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