辽宁工程技术大学学报（自然科学版）2012，Vol.31Issue(3)：349-353,5.
弹性力学中三种有限体积法方案的对比
Three finite volume schemes for elastic mechanics
摘要
Abstract
In order to compare three typical finite volume schemes, a force equilibrium equation is established based on the principle of FVM. Using triangular units and considering internal cells and boundary elements, these three finite volume schemes are analyzed and compared. Linear equations are put forward which are similar to the stiffness equations of FEM but with different coefficients. Through the analyses and a numerical example, an optimal finite volume scheme FVM2 is obtained which has the same precision with FEM. However, without considering concentrated force, FVM3, which is proposed first by this paper, is also feasible.关键词
弹性力学/有限单元法/有限体积法/有限体积/平面应力问题/最小势能原理/三角形网格/数值计算Key words
elastic mechanics/ finite element method/ finite volume method/ finite volume/ plane stress problem/principle of minimum potential energy/ triangle mesh/ numerical calculation分类
数理科学引用本文复制引用
秦跃平,孙全,刘伟,张国玉..弹性力学中三种有限体积法方案的对比[J].辽宁工程技术大学学报（自然科学版）,2012,31(3):349-353,5.基金项目
国家重点基础研究发展计划973计划基金资助项目(2011CB201202). （2011CB201202）
