A two-dimensional （2D） dam-break flow numerical model was developed based on the finite-volume total variation diminishing （TVD） and monotone upstream-centered scheme for conservation laws （MUSCL）-Hancock scheme...A two-dimensional （2D） dam-break flow numerical model was developed based on the finite-volume total variation diminishing （TVD） and monotone upstream-centered scheme for conservation laws （MUSCL）-Hancock scheme, which has second-order accuracy in both time and space. A Harten-Lax-van Leer-contact （HLLC） approximate Riemann solver was used to evaluate fluxes. The TVD MUSCL-Hancock numerical scheme utilizes slope limiters, such as the minmod, double minmod, superbee, van Albada, and van Leer limiters, to prevent spurious oscillations and maintain monotonicity near discontinuities. A comparative study of the impact of various slope limiters on the accuracy of the numerical flow model was conducted with several dam-break examples including wet and dry bed cases. The numerical results of the superbee and double minmod limiters agree better with the theoretical solution and have higher accuracy than other limiters in one-dimensional （1D） space. The ratio of the downstream water depth to the upstream water depth was used to select the proper slope limiter. For the 2D numerical model, the superbee limiter should not be used, owing to significant numerical dispersion.展开更多
The MUSCL scheme for compressible gas dynamics is studied in this paper. We propose a new type of Eulerian MUSCL scheme, which evaluates the intercell flux at half time step. The intercell flux is comptuted from chara...The MUSCL scheme for compressible gas dynamics is studied in this paper. We propose a new type of Eulerian MUSCL scheme, which evaluates the intercell flux at half time step. The intercell flux is comptuted from characteristic equations with the data which traced back through the approximate characteristic from the edge at half time step. The data is classified in several different types, depending on the characteristic directions of data. We also present a general procedure of oscillation free algorithm for the MUSCL scheme. This procedure provides a class of limiters which includes the existing limiter. The new MUSCL scheme and the oscillation free algorithm are validated through simulations for test problems.展开更多
基金supported by the National Natural Science Foundation of China(Grants No.51679170,51379157,and 51439007)
文摘A two-dimensional （2D） dam-break flow numerical model was developed based on the finite-volume total variation diminishing （TVD） and monotone upstream-centered scheme for conservation laws （MUSCL）-Hancock scheme, which has second-order accuracy in both time and space. A Harten-Lax-van Leer-contact （HLLC） approximate Riemann solver was used to evaluate fluxes. The TVD MUSCL-Hancock numerical scheme utilizes slope limiters, such as the minmod, double minmod, superbee, van Albada, and van Leer limiters, to prevent spurious oscillations and maintain monotonicity near discontinuities. A comparative study of the impact of various slope limiters on the accuracy of the numerical flow model was conducted with several dam-break examples including wet and dry bed cases. The numerical results of the superbee and double minmod limiters agree better with the theoretical solution and have higher accuracy than other limiters in one-dimensional （1D） space. The ratio of the downstream water depth to the upstream water depth was used to select the proper slope limiter. For the 2D numerical model, the superbee limiter should not be used, owing to significant numerical dispersion.
基金Grant(No.2 0 0 0 -2 -10 1-0 0 1-3 ) from the Basic Research Program of the Korea Science &Engineering Foundation
文摘The MUSCL scheme for compressible gas dynamics is studied in this paper. We propose a new type of Eulerian MUSCL scheme, which evaluates the intercell flux at half time step. The intercell flux is comptuted from characteristic equations with the data which traced back through the approximate characteristic from the edge at half time step. The data is classified in several different types, depending on the characteristic directions of data. We also present a general procedure of oscillation free algorithm for the MUSCL scheme. This procedure provides a class of limiters which includes the existing limiter. The new MUSCL scheme and the oscillation free algorithm are validated through simulations for test problems.
