Two Numerical Methods Based On Discretization
Of The MPS Method For Solving The
Two-dimensional Burgers’ Equation
Author(s)
H. Sakurai
Abstract
The Burgers’ equation is an important and basic nonlinear partial differential
equation in fluid dynamics, and has been used as a model equation in other
fields, such as modeling of shock waves, gas dynamics, turbulence, and large
bubble structures consisting of clusters of galaxies in space. Many researchers
have proposed various numerical methods for solving the Burgers’ equation,
such as the finite difference method, finite element method, boundary element
method, etc. The objective of the present research is to propose Cole-Hopf the
transformation method (CHTM) and direct method (DM) based on discretization
of the moving particle semi-implicit (MPS) method for solving the twodimensional
Burgers’ equation. The numerical results of one and
two-dimensional problems are compared with exact solutions and other
numerical solutions, and the validity of the present methods is shown.
Keywords: Burgers’ equation, Cole-Hopf transformation, direct method,
discretization of MPS method, two-dimensional problem.
Keywords
Keywords: Burgers’ equation, Cole-Hopf transformation, direct method,discretization of MPS method, two-dimensional problem.
Related Book
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