A New Compact Scheme in Exponential Form for Two-Dimensional Time-Dependent Burgers' and Navier-Stokes Equations
Year: 2020
Author: R.K. Mohanty, Li Yuan, Divya Sharma
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 437–454
Abstract
A new compact implicit exponential scheme for Burgers' and Navier-Stokes equation is developed. The method has fourth order accuracy in space and second order accuracy in time. It uses only two time levels for computation and requires nine grid points at each time level. The stability of the method is proven for linearised Burgers' equation. It is applied to a modified Taylor vortex problem. Numerical examples confirm the theoretical results and show the accuracy of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.141119.110220
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 437–454
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Compact scheme in exponential form two-level implicit scheme Burgers’ equation Navier-Stokes equations of motion Taylor-vortex problem.