AI AA - 85 - 0435 Finite Volume Solution of the Two - Dimensiona I Euler Equations on a Regular Triangular Mesh
نویسنده
چکیده
The two dimensional Euler equations have been solved on a regular triangular grid using the finite volume approach. By careful construction of the dissipative terms, the scheme is designed to be second order accurate in space, provided the grid is smooth, except in the vicinity of shocks, where it behaves as first order accurate. The multigrid technique has been applled to triangular meshes to enhance the convergence of the scheme. In its present form, the accuracy and convergence rate of the triangle code are comparable to that of the quadrilateral mesh code of 3ameson.l
منابع مشابه
Pressure-Velocity Coupled Finite Volume Solution of Steady Incompressible Invscid Flow Using Artificial Compressibility Technique
Application of the computer simulation for solving the incompressible flow problems motivates developing efficient and accurate numerical models. The set of Inviscid Incompressible Euler equations can be applied for wide range of engineering applications. For the steady state problems, the equation of continuity can be simultaneously solved with the equations of motion in a coupled manner using...
متن کاملA Composite Finite Difference Scheme for Subsonic Transonic Flows (RESEARCH NOTE).
This paper presents a simple and computationally-efficient algorithm for solving steady two-dimensional subsonic and transonic compressible flow over an airfoil. This work uses an interactive viscous-inviscid solution by incorporating the viscous effects in a thin shear-layer. Boundary-layer approximation reduces the Navier-Stokes equations to a parabolic set of coupled, non-linear partial diff...
متن کاملA Finite Volume Method for the Two-dimensional Euler Equations with Solution Adaptation on Unstructured Meshes
A cell-vertex finite volume method is used to discretize the Euler equations on unstructured triangular meshes. A five-stage Runge-Kutta pseudo-time integration scheme is used to march the solution to steady state. Non-linear artificial viscosity is added to eliminate pressure-velocity decoupling and to capture shocks. The boundary conditions at inflow and outflow are based on the method of cha...
متن کاملAdaptive Solution of Steady Two Dimensional Flow on an Unstructured Grid
Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roe's flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, ac...
متن کاملAdaptive Solution of Steady Two Dimensional Flow on an Unstructured Grid
Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roes flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, acc...
متن کامل