Boundary processing technology of WENO difference method

Abstract

The invention provides a boundary processing technology when the flow field calculation is performed by a WENO difference method. The consistent high accuracy can be achieved when the flow field calculation is performed and the complicated boundary can be processed. The boundary processing technology mainly comprises step 1, grid division, wherein grids are divided into an internal area and a boundary area, the boundary area only comprises a layer of grids, and accordingly the complicated calculation of the boundary area DG is minimized; step 2, space dispersion, wherein the space dispersion is performed on the internal area by the WENO finite difference method; step 3, boundary processing, wherein the space dispersion is performed on the boundary area by a DG method; step 4, coupling processing, wherein the coupling is performed on the boundary processing portion and the internal area and the derivative information is provided by the boundary area through DG polynomial approximation; step 5, time dispersion, wherein the time dispersion is displayed by a TVD-Runge-Kutta method; step 6, post-processing, wherein the visual stimulation is performed on a flow field result through commercial software such as Tecplot or Paraview.

Description

technical field [0001] The invention relates to the field of computational fluid dynamics numerical methods, in particular to a boundary processing technology of a high-precision finite difference method for solving hyperbolic conservation law equations. Background technique [0002] Numerical simulation of three-dimensional complex flows of aircraft and related multi-objective optimization problems are currently hot frontier issues in computational fluid dynamics, and are also an application problem oriented to actual engineering needs. However, under the conditions of the current computer scale and solving ability, the computational efficiency of the current mainstream numerical methods cannot meet the needs of this engineering practical application problem. One of the keys to solving this problem is to improve the efficiency of the flow field solver . [0003] At present, a variety of coupling methods have appeared to take full advantage of the advantages of popular high...

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Problems solved by technology

[0003] At present, a variety of coupling methods have appeared to take full advantage of the advantages of popular high-precision numerical methods, such as WENO limiter discontinuous finite element method, high-order SV method, coupled DG / FV method, multi-region coupled DG and WENO method, in which the multi-area coupled DG and WENO methods have the advantages of high efficiency, high precision and easy handling of complex boundaries, but the most efficient of all current high-order methods is still the finite difference method, but this method generally needs to be in the structure The calculation is performed on the grid, and it cannot deal with complex boundaries, and there is no compactness when dealing with boundaries, so there is a lack of a high-order numerical method that can help the finite difference method to deal with complex boundaries compactly

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