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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:The Application of Continuous Adjoint Method for Shape Optimization in Navier-Stokes Flow
连续伴随法 纳维-斯托克斯流 形状优化
2023/5/8
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations
三维等熵 可压缩 Navier-Stokes方程中 Couette流 线性稳定性
2023/5/10
Formulation of Kinetic Energy Preserving Conservative Schemes for Gas Dynamics and Direct Numerical Simulation of One-dimensional Viscous Compressible Flow in a Shock Tube Using Entropy and Kinetic Energy Preserving Schemes
Energy Preserving Conservative Kinetic Energy Preserving
2015/6/23
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...
High-Order Numerical Algorithms for Steady and Unsteady Simulation of Viscous Compressible Flow with Shocks
Steady Unsteady Simulation
2015/6/18
Theoretical developments of flux reconstruction method
Unstructured high-order methods
The Flux Reconstruction approach
Energy Stable Flux Reconstruction schemes
Flux Reconstruction as Filtere...
Applications of Dual Time Stepping to Fully Implicit Runge-Kutta Schemes for Unsteady Flow Calculations
Unsteady Flow Calculations Time Stepping
2015/6/18
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, ...
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...
Energy Estimates for Nonlinear Conservation Laws with Applications to Solutions of the Burgers Equation and One-Dimensional Viscous Flow in a Shock Tube by Central Difference Schemes
Energy Estimates Central Diff erence Schemes
2015/6/18
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...