Linear Method For Two Dimensional Burgers Equation

AUTHOR AND
AFFILIATION

SACHIN S.WANI1 and SARITA THAKAR2

KEYWORDS:

Two dimensional Burgers equation, Crank Nicolson, Reynolds Number, Consistent. AMS Subject classification:-65M12

Issue Date:

April 2013

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.25 – No.1

PDF

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DOI:

jusps-A

ABSTRACT:

A Linear method is constructed for numerical solution of two dimensional non-linear Burgers equation. The scheme is derived from Crank-Nicolson finite difference scheme for linear terms and averaging for nonlinear terms. The method is shown to be consistent and second order accurate in time and space. The numerical solutions are obtained for two test problems at different time t and Reynolds number Re. The numerical solutions are compared with exact solution and other existing methods. Though the method is linear numerical solutions are compatible with ADM and Crank-Nicolson method

Copy the following to cite this Article:

SACHIN S.WANI1 and SARITA THAKAR2, “Linear Method For Two Dimensional Burgers Equation”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016


Copy the following to cite this URL:

SACHIN S.WANI1 and SARITA THAKAR2, “Linear Method For Two Dimensional Burgers Equation”, Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/277/


A Linear method is constructed for numerical solution of two dimensional non-linear Burgers equation. The scheme is derived from Crank-Nicolson finite difference scheme for linear terms and averaging for nonlinear terms. The method is shown to be consistent and second order accurate in time and space. The numerical solutions are obtained for two test problems at different time t and Reynolds number Re. The numerical solutions are compared with exact solution and other existing methods. Though the method is linear numerical solutions are compatible with ADM and Crank-Nicolson method