Numerical solutions of incompressible Euler and Navier-Stokes equations by efficient discrete singular convolution method |
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Authors: | D C Wan G W Wei |
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Institution: | (1) Shanghai Institute of Appl Math and Mech, Shanghai University, 200072 Shanghai, China;(2) Dept of Computational Science, National University of Singapore, 119260 Singapore |
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Abstract: | An efficient discrete singular convolution (DSC) method is introduced to the numerical solutions of incompressible Euler and
Navier-Stokes equations with periodic boundary conditions. Two numerical tests of two-dimensional Navier-Stokes equations
with periodic boundary conditions and Euler equations for doubly periodic shear layer flows are carried out by using the DSC
method for spatial derivatives and fourth-order Runge-Kutta method for time advancement, respectively. The computational results
show that the DSC method is efficient and robust for solving the problems of incompressible flows, and has the potential of
being extended to numerically solve much broader problems in fluid dynamics.
The project supported by the National Natural Science Foundation of China (No.19902010). |
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Keywords: | incompressible flows periodic boundary DSC method fourth-order Runge-Kutta method |
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