Semi-implicit Second Order Accurate Finite Volume Method for Advection-Diffusion Level Set Equation

被引：1

作者：

Balazovjech, Martin ^{[1
]}

Frolkovic, Peter ^{[1
]}

Frolkovic, Richard ^{[1
]}

Mikula, Karol ^{[1
]}

机构：

[1] Slovak Univ Technol Bratislava, Dept Math, Radlinskeho 11, Bratislava 81368, Slovakia

来源：

FINITE VOLUMES FOR COMPLEX APPLICATIONS VII - ELLIPTIC, PARABOLIC AND HYPERBOLIC PROBLEMS, FVCA 7 | 2014年 / 78卷

关键词：

SCHEME; MOTION;

D O I：

10.1007/978-3-319-05591-6_47

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a second order accurate finite volume method for level set equation describing the motion in normal direction with the speed depending on external properties and curvature. A convenient combination of a Crank-Nicolson type of the time discretization for diffusion term [1] and an Inflow Implicit and Outflow Explicit scheme [6] for advection term is used. Numerical experiments for an example with the exact solution derived in this paper and for examples motivated by modeling of fire propagation in forests are presented.

引用

页码：479 / 487

页数：9

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