Volume 16, Issue 3
Extension and Comparative Study of AUSM-Family Schemes for Compressible Multiphase Flow Simulations

Keiichi Kitamura, Meng-Sing Liou & Chih-Hao Chang

Commun. Comput. Phys., 16 (2014), pp. 632-674.

Published online: 2014-12

Preview Full PDF 172 1280
Export citation
  • Abstract

Several recently developed AUSM-family numerical flux functions (SLAU, SLAU2, AUSM+-up2, and AUSMPW+) have been successfully extended to compute compressible multiphase flows, based on the stratified flow model concept, by following two previous works: one by M.-S. Liou, C.-H. Chang, L. Nguyen, and T.G. Theofanous [AIAA J. 46:2345-2356, 2008], in which AUSM+-up was used entirely, and the other by C.-H. Chang, and M.-S. Liou [J. Comput. Phys. 225:840-873, 2007], in which the exact Riemann solver was combined into AUSM+-up at the phase interface. Through an extensive survey by comparing flux functions, the following are found: (1) AUSM+-up with dissipation parameters of Kp and Ku equal to 0.5 or greater, AUSMPW+, SLAU2, AUSM+-up2, and SLAU can be used to solve benchmark problems, including a shock/water-droplet interaction; (2) SLAU shows oscillatory behaviors [though not as catastrophic as those of AUSM+ (a special case of AUSM+-up with Kp=Ku=0)] due to insufficient dissipation arising from its ideal-gas-based dissipation term; and (3) when combined with the exact Riemann solver, AUSM+-up (Kp=Ku=1), SLAU2, and AUSMPW+ are applicable to more challenging problems with high pressure ratios.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CiCP-16-632, author = {}, title = {Extension and Comparative Study of AUSM-Family Schemes for Compressible Multiphase Flow Simulations}, journal = {Communications in Computational Physics}, year = {2014}, volume = {16}, number = {3}, pages = {632--674}, abstract = {

Several recently developed AUSM-family numerical flux functions (SLAU, SLAU2, AUSM+-up2, and AUSMPW+) have been successfully extended to compute compressible multiphase flows, based on the stratified flow model concept, by following two previous works: one by M.-S. Liou, C.-H. Chang, L. Nguyen, and T.G. Theofanous [AIAA J. 46:2345-2356, 2008], in which AUSM+-up was used entirely, and the other by C.-H. Chang, and M.-S. Liou [J. Comput. Phys. 225:840-873, 2007], in which the exact Riemann solver was combined into AUSM+-up at the phase interface. Through an extensive survey by comparing flux functions, the following are found: (1) AUSM+-up with dissipation parameters of Kp and Ku equal to 0.5 or greater, AUSMPW+, SLAU2, AUSM+-up2, and SLAU can be used to solve benchmark problems, including a shock/water-droplet interaction; (2) SLAU shows oscillatory behaviors [though not as catastrophic as those of AUSM+ (a special case of AUSM+-up with Kp=Ku=0)] due to insufficient dissipation arising from its ideal-gas-based dissipation term; and (3) when combined with the exact Riemann solver, AUSM+-up (Kp=Ku=1), SLAU2, and AUSMPW+ are applicable to more challenging problems with high pressure ratios.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.020813.190214a}, url = {http://global-sci.org/intro/article_detail/cicp/7057.html} }
TY - JOUR T1 - Extension and Comparative Study of AUSM-Family Schemes for Compressible Multiphase Flow Simulations JO - Communications in Computational Physics VL - 3 SP - 632 EP - 674 PY - 2014 DA - 2014/12 SN - 16 DO - http://doi.org/10.4208/cicp.020813.190214a UR - https://global-sci.org/intro/article_detail/cicp/7057.html KW - AB -

Several recently developed AUSM-family numerical flux functions (SLAU, SLAU2, AUSM+-up2, and AUSMPW+) have been successfully extended to compute compressible multiphase flows, based on the stratified flow model concept, by following two previous works: one by M.-S. Liou, C.-H. Chang, L. Nguyen, and T.G. Theofanous [AIAA J. 46:2345-2356, 2008], in which AUSM+-up was used entirely, and the other by C.-H. Chang, and M.-S. Liou [J. Comput. Phys. 225:840-873, 2007], in which the exact Riemann solver was combined into AUSM+-up at the phase interface. Through an extensive survey by comparing flux functions, the following are found: (1) AUSM+-up with dissipation parameters of Kp and Ku equal to 0.5 or greater, AUSMPW+, SLAU2, AUSM+-up2, and SLAU can be used to solve benchmark problems, including a shock/water-droplet interaction; (2) SLAU shows oscillatory behaviors [though not as catastrophic as those of AUSM+ (a special case of AUSM+-up with Kp=Ku=0)] due to insufficient dissipation arising from its ideal-gas-based dissipation term; and (3) when combined with the exact Riemann solver, AUSM+-up (Kp=Ku=1), SLAU2, and AUSMPW+ are applicable to more challenging problems with high pressure ratios.

Keiichi Kitamura, Meng-Sing Liou & Chih-Hao Chang. (2020). Extension and Comparative Study of AUSM-Family Schemes for Compressible Multiphase Flow Simulations. Communications in Computational Physics. 16 (3). 632-674. doi:10.4208/cicp.020813.190214a
Copy to clipboard
The citation has been copied to your clipboard