Department of Mathematics

Applied Mathematics

  •  Guosheng Fu, University of Notre Dame
  •  High-order variational Lagrangian schemes for compressible fluids
  •  04/21/2023
  •  4:00 PM - 5:00 PM
  •  C304 Wells Hall
  •  Mark A Iwen ()

We present a class of high-order variational Lagrangian schemes for compressible fluids using the tool of energetic variational approach (EnVarA). This is the first time that the EnVarA framework has been applied to non isothermal models where temperature effects are non-negligible. We illustrate the main idea using the classical ideal gas model, and construct variational Lagrangian schemes that are conservative and entropy stable using EnVarA. Efficient implicit time stepping is designed so that the time step size is not restricted by the sound speed and the model is robust in the low Mach number case. Ample numerical examples will be presented to show the good performance of the proposed schemes for problems including strong shocks, low Mach number flows and multimaterial flows. This is a joint work with Prof. Chun Liu from IIT.



Department of Mathematics
Michigan State University
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