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| Computingthe incompressible Euler equationswith pseudocompressible method |
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| DOI：10.7511/jslx20001002 |
| KeyWord:incopressible flow,Euler equations,pseudocompressible method, |
| HU Shi\|xiang\ 1 SHE Chun\|dong\ 2 TANG Zhi\|Li\ 3 |
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| Abstract: |
| The method of pseudocompressibility has been found to be an effcient method for obtaining a steady\|state solution to the incompressible Euler and Navier\|Stokes equations. The method is used to solve the 2\|D and 3\|D steady incompressible Euler equations in this aper. At first, the algorithm of approximate factorization of Beam\|Warming type is employed, then the four\|step Rung\|Kutta algorithm is used, numerical experiment proved that this explicit time integration method is also an idealized method to obtain the steadystate solution for pseudocompressible Euler equation. Moreover, the effect of the order of the dissipative term on convergence of steady\|state solution is analysised, which indicate that two\|order derivatives in dissipative terms is necessary to maintain the stability of the scheme,but in three\|dimensional computations, it may not necessary. The computing efficiency of these algorithms are compared. Identical solutions are obtained from both algorithms which compare well with experimental results. |
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