Internal solitary waves have been found to disintegrate into a series of solitons over variablebathymetry, with important applications for offshore engineering. Considering realisticbackground stratification in the So...Internal solitary waves have been found to disintegrate into a series of solitons over variablebathymetry, with important applications for offshore engineering. Considering realisticbackground stratification in the South China Sea, internal solitary waves propagating over a stepare studied here. By assuming disintegrated solitons propagate independently, a theoreticalmodel, namely a triangular temporal-distribution law based on the Korteweg–de Vries theory, isproposed to describe the fission process of internal solitary waves undergoing disintegration. Aparameter is then introduced to quantify the accuracy of the theoretical model. The resultsindicate that the triangular law predicts the fission process better for a longer travelling distanceand a larger amplitude of internal solitary waves.展开更多
We give a brief discussion of some of the contributions of Peter Lax to Com- putational Fluid Dynamics. These include the Lax-Friedrichs and Lax-Wendroff numerical schemes. We also mention his collaboration in the 198...We give a brief discussion of some of the contributions of Peter Lax to Com- putational Fluid Dynamics. These include the Lax-Friedrichs and Lax-Wendroff numerical schemes. We also mention his collaboration in the 1983 HLL Riemann solver. We de- velop two-dimensional Lax-Friedrichs and Lax-Wendroff schemes for the Lagrangian form of the Euler equations on triangular grids. We apply a composite scheme that uses a Lax- Friedrichs time step as a dissipative filter after several Lax-Wendroff time steps. Numerical results for Noh＇s infinite strength shock problem, the Sedov blast wave problem, and the Saltzman piston problem are presented.展开更多
基金supported by the National Natural Science Foundation of China (11572332 and 11602274)the National Key R&D Program of China (2017YFC1404202)the Strategic Priority Research Program of the Chinese Academy of Sciences (XDB22040203)
文摘Internal solitary waves have been found to disintegrate into a series of solitons over variablebathymetry, with important applications for offshore engineering. Considering realisticbackground stratification in the South China Sea, internal solitary waves propagating over a stepare studied here. By assuming disintegrated solitons propagate independently, a theoreticalmodel, namely a triangular temporal-distribution law based on the Korteweg–de Vries theory, isproposed to describe the fission process of internal solitary waves undergoing disintegration. Aparameter is then introduced to quantify the accuracy of the theoretical model. The resultsindicate that the triangular law predicts the fission process better for a longer travelling distanceand a larger amplitude of internal solitary waves.
基金performed under the auspices of the National Nuclear Security Administration of the US Department of Energy at Los Alamos National Laboratory under Contract No.DE-AC52-06NA25396supported in part by the Czech Science Foundation GrantP205/10/0814the Czech Ministry of Education grants MSM 6840770022 and LC528
文摘We give a brief discussion of some of the contributions of Peter Lax to Com- putational Fluid Dynamics. These include the Lax-Friedrichs and Lax-Wendroff numerical schemes. We also mention his collaboration in the 1983 HLL Riemann solver. We de- velop two-dimensional Lax-Friedrichs and Lax-Wendroff schemes for the Lagrangian form of the Euler equations on triangular grids. We apply a composite scheme that uses a Lax- Friedrichs time step as a dissipative filter after several Lax-Wendroff time steps. Numerical results for Noh＇s infinite strength shock problem, the Sedov blast wave problem, and the Saltzman piston problem are presented.
