Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach

B.J. Gross,N. Trask,P. Kuberry,P.J. Atzberger

Journal of Computational Physics（2020）

引用 41|浏览8

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摘要

•Generalized Moving Least Squares (GMLS) for solving Partial Differential Equations (PDEs) on manifolds.•Numerical solvers with high-order convergence rates.•Exterior calculus formulations for mechanics and approximations on manifolds.•Investigations of hydrodynamic flows of curved fluid interfaces.

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关键词

Meshfree methods,High order numerical methods,Generalized Moving Least Squares, Manifolds,Exterior calculus,Curved fluid interfaces,Fluid mechanics

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