空间差分格式对有限体积法数值散射的影响  

EFFECT OF SPATIAL DIFFERENCING SCHEMES ON THE NUMERICAL SCATTERING FOR FINITE VOLUME METHOD

作　　者：张昊春[1] 谈和平[1] 王雁鸣[1] 

机构地区：[1]哈尔滨工业大学能源科学与工程学院,黑龙江哈尔滨150001

出　　处：《工程热物理学报》2006年第z2期17-20,共4页Journal of Engineering Thermophysics

基　　金：国家自然科学基金重点资助项目(No.50336010);国家重点基础研究(973)专项经费(No.2003CB214500)资助

摘　　要：数值散射是辐射传递方程近似算法中最常见的离散误差。本文主要讨论空间差分格式对有限体积法数值散射的影响。构造激光平行及倾斜入射的物理模型,验证和比较阶梯格式、中心差分格式及指数格式下温度场的计算精度及数值散射特性。计算结果表明,在激光平行入射与倾斜入射两种情况下,阶梯格式引起的的数值散射比菱形格式及指数格式要多,但其计算精度高于菱形及指数格式。不同激光入射条件下,各种差分格式表现出的数值散射分布有明显的差异。Numerical scattering is one of the most common discretization errors in the numerical method for radiative transfer equation. The effect of different spatial differencing schemes on the numerical scattering is investigated. Physical models of parallel and oblique laser incidence are constructed, then, computing accuracy and profiles of numerical scattering in the step, diamond and exponential scheme for the FVM are validated and compared. Simulation results show that step scheme, with a higher accuracy, generates more numerical scattering than the diamond and exponential scheme. The distribution of numerical scattering varies with the differential schemes under different incident laser conditions.

关 键 词：数值散射 离散误差 空间差分格式 有限体积法 

分 类 号：TK124[动力工程及工程热物理—工程热物理]