Hamilton-based numerical methods for a fluid-membrane interaction in two and three dimensions

被引：9

作者：

Recchioni, MC ^{[1
]}

Russo, G ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67010 Coppito, Italy

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1998年 / 19卷 / 03期

关键词：

Hamiltonian formulation; incompressible inviscid fluids; numerical methods for PDEs;

D O I：

10.1137/S106482759528973X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Hamiltonian formulation of incompressible, inviscid fluid dynamics is recalled. Numerical methods based on this formulation have several conservation properties that make them attractive. This formulation is applied to study the interaction of a fluid with a membrane in two and three dimensions. Linear analysis is performed in two and three dimensions for axisymmetric flow. The result in two dimensions agrees with linear analysis obtained by the vorticity formulation. Numerical schemes based on this formulation are derived and applied to the evolution of membranes in two and three dimensions. The numerical results are in agreement with linear analysis.

引用

页码：861 / 892

页数：32

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