Finite Volume Methods
Finite Volume Methods
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DOI：
10.1007/978-3-642-56026-2_4
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
J. Ferziger;M. Peric
中科院分区：
文献类型：
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作者：
J. Ferziger;M. Peric
本章描述了一般标量输运方程的有限体积(FV)方法，包括表面积分和体积积分的近似，以及在胞心以外的位置使用插值法获得变量值和导数。文中还描述了高阶格式的发展和所得代数方程的延迟修正方法的简化。重点分析了插值法和积分逼近法引起的离散化误差。最后讨论了各种边界条件的实现。本章最后用一些基本方法对几个使用笛卡尔网格的例子进行了应用。
The finite volume (FV) method is described for the generic scalar transport equation in this chapter, including the approximation of surface and volume integrals and the use of interpolation to obtain variable values and derivatives at locations other than cell centers. Development of higher-order schemes and simplification of the resulting algebraic equations using the deferred-correction approach is also described. Special attention is paid to the analysis of discretization errors caused by interpolation and integral approximations. Finally, implementation of the various boundary conditions is discussed. The chapter closes with application of some of the basic methods to several examples using Cartesian grids.