A second order Cartesian finite volume method for elliptic interface and embedded Dirichlet problems

作者：Latige M^*; Colin T; Galile G

来源：Computers & Fluids, 2013, 83: 70-76.

DOI：10.1016/j.compfluid.2012.06.027

• Immersed interface method
• Elliptic equations
• Cartesian method
• Finite volume method
• Embedded Dirichlet problems

We present a finite volume method to solve elliptic equations with immersed interface conditions. This method allows discontinuities on the solution and its normal derivatives on an interface inside the domain on a Cartesian grid. The main idea is to use a piecewise polynomial representation of the solution on a dual grid that avoid distinctions between the different interface configurations. The method achieves second order accuracy with a compact nine-point stencil. Moreover, we show that this method applies to solve embedded Dirichlet and Neumann problems.

• 出版日期2013-8-16
• 单位中国地震局; INRIA