GE Quan-wen. Lagrangian High-Order Staggered Conservative Gasdynamics Scheme on Unstructured Meshes[J]. Applied Mathematics and Mechanics, 2014, 35(1): 92-101. doi: 10.3879/j.issn.1000-0887.2014.01.010
Citation: GE Quan-wen. Lagrangian High-Order Staggered Conservative Gasdynamics Scheme on Unstructured Meshes[J]. Applied Mathematics and Mechanics, 2014, 35(1): 92-101. doi: 10.3879/j.issn.1000-0887.2014.01.010

Lagrangian High-Order Staggered Conservative Gasdynamics Scheme on Unstructured Meshes

doi: 10.3879/j.issn.1000-0887.2014.01.010
Funds:  The National Natural Science Foundation of China(11172050; 11372051; 11001027)
  • Received Date: 2013-07-18
  • Rev Recd Date: 2013-10-11
  • Publish Date: 2014-01-15
  • A Lagrangian high-order staggered conservative gasdynamics scheme on unstructured meshes was presented.The high-order piecewise pressure on the cell arising from the present-moment subcell density and present-moment subcell acoustic speed was used to construct the high-order subcell force with the MUSCL method.The time discretization of the spatial fluxes was performed by means of the Taylor expansions of the spatial fluxes centered in time. Thereupon the Lagrangian high-order staggered conservative gasdynamics scheme was established. Several numerical tests were presented to demonstrate the robustness and accuracy of the new scheme.
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