A universal cubic interpolation solver for compressible and incompressible fluids. (English) Zbl 0753.76127
Summary: A universal numerical solver commonly usable for comressible and incompressible fluids is proposed. The method approaches the MAC algorithm at very high sound speed and continuously approaches the algorithm for compressible fluid with decreasing sound speed. The advection term is treated by the cubic-interpolated pseudoparticle algorithm which was previously proposed. A single program is applied to one- and two-dimensional shock-tube problems, and two-dimensional liquid flow inside a cavity at high Reynolds number.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
Keywords:
Navier-Stokes equation; MAC algorithm; sound speed; advection term; cubic-interpolated pseudoparticle; two-dimensional shock-tube problems; cavityReferences:
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