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In this work, the shape optimization problem of a solid immersed in the incompressible fluid governed by Navier-Stokes equations is considered. Based on the continuous adjoint method, the shape gradie...
Consider the linear stability of the three dimensional isentropic compressible Navier-Stokes equations on . We prove the enhanced dissipation phenomenon for the linearized isentropic compressible Navi...
This paper follows up on the author’s recent paper “The Construction of Discretely Conservative Finite Volume Schemes that also Globally Conserve Energy or Enthalpy”. In the case of the gas dynamics...
Theoretical developments of flux reconstruction method Unstructured high-order methods The Flux Reconstruction approach Energy Stable Flux Reconstruction schemes Flux Reconstruction as Filtere...
Accordingly, a fast steady state solver is an essential building block for an implicit scheme. This leads to a circular situation. We need an implicit scheme for fast convergence to a steady state, ...
Solution Algorithms for Viscous Flow     Viscous Flow  plane       2015/6/18
Associate first and second neighbors with each face • Allows implementation of standard schemes with five-point stencils (Jameson-Schmidt-Turkel JST, SLIP) in the same code • Eliminates...
The use of energy estimates to establish the stability of dis crete approximations to initial value problems has a long history. The energy meth od is discussed in the classical book by Morton and...

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