Finite Analytic Explicit Scheme for Viscous Burgers' Equation

by Weizhong Dai, Univ of Iowa, Iowa City, United States,
Ching Jen Chen, Univ of Iowa, Iowa City, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


Burgers' equation is numerically analyzed by finite analytic method. The basic idea of finite analytic method is to incorporate the analytic solution of partial differential equation in a given finite element in obtaining the discrete algebraic representation of the differential equation. In this paper, a finite analytic explicit numerical scheme is obtained based on the analytic characteristic solution for viscous Burgers' equation. The scheme is employed to solve several unsteady and steady fluid flow problems.

Subject Headings: Finite element method | Differential equations | Navier-Stokes equations | Numerical analysis | Fluid flow | Fluid mechanics | Steady flow | Mathematics

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