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A New Compact Scheme in Exponential Form for Two-Dimensional Time-Dependent Burgers' and Navier-Stokes Equations

A New Compact Scheme in Exponential Form for Two-Dimensional Time-Dependent Burgers' and Navier-Stokes Equations
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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.

Author Details

R.K. Mohanty

Li Yuan

Divya Sharma

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