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Reducing the Numerical Viscosity in Nonstructured Three-Dimensional Finite Volume Computations

机译:降低非结构化三维有限体积计算中的数值粘度

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The results obtained for the shock tube have shown that the scheme which has been proposed diminishes the numerical viscosity with regards to the conventional Harten-Yee TVD scheme and it does not introduce oscillations. Furthermore, the ability in capturing the shock wave has not been affected. For the slip surface test, where only discontinuities in waves of families 3 and 4 are involved, the results have shown that the proposed scheme works more efficiently than the Harten-Yee conventional one. However, the scheme using superbee limiter functions in all waves produces less diffusion. The superior behavior of the flux limiters superbee is mainly due to the fact that, in this test case, there are not shock waves. When shocks are present, the use of the superbee functions introduce spurious oscillations and instabilities.
机译:从减震管获得的结果表明,相对于传统的Harten-Yee TVD方案,所提出的方案降低了数值粘度,并且不会引入振荡。此外,捕获冲击波的能力没有受到影响。对于仅涉及族3和4的波中的不连续性的滑动表面测试,结果表明,所提出的方案比Harten-Yee常规方案更有效。但是,在所有波中使用超级蜜蜂限制器功能的方案产生的扩散较少。通量限制器超级蜂的优越性能主要是由于在该测试案例中没有冲击波。当发生电击时,超级蜂鸣器功能的使用会导致杂散振荡和不稳定性。

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