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A Fast Algorithm for Coupling High-Precision Complicated Flow Field Based on Domain Decomposition

A technology of area decomposition and fast algorithm, applied in computing, special data processing applications, instruments, etc., can solve problems such as small amount of calculation and high calculation efficiency

Active Publication Date: 2018-01-02
三多(杭州)科技有限公司
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Problems solved by technology

The multi-area coupled DG and WENO method has the advantages of high-order accuracy, easy handling of complex boundaries, small amount of calculation, and high calculation efficiency.

Method used

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  • A Fast Algorithm for Coupling High-Precision Complicated Flow Field Based on Domain Decomposition
  • A Fast Algorithm for Coupling High-Precision Complicated Flow Field Based on Domain Decomposition
  • A Fast Algorithm for Coupling High-Precision Complicated Flow Field Based on Domain Decomposition

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Embodiment Construction

[0021] The method in the embodiment of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiment of the present invention. Obviously, the described example is only an application example of the present invention. Based on the examples in the present invention, all other examples obtained by those skilled in the art without making creative work belong to the protection scope of the present invention.

[0022] against Figure 1 Shape, determine the calculation area. In this problem, the problem that needs to be solved by numerical simulation is the subsonic NACA0012 wing flow problem. The initial flow conditions are Mach number Ma=0.4 and angle of attack AoA=5.0°. The calculation area we selected is a regular rectangular area [-15.0,15.0]×[-15.0,15.0];

[0023] In order to solve the physical characteristics of the problem, the area decomposition is carried out. For this problem, since the irregular area...

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Abstract

The invention provides a fast calculation method for solving hyperbolic conservation law equations and Euler equations based on domain decomposition coupled high-precision DG and WENO methods. The method first performs domain decomposition on the original problem, that is, adopts a structure in the area near the physical boundary Or the unstructured discontinuous finite element method (DG), using the finite body difference weighted intrinsically non-oscillating (WENO) scheme under the structured mesh in the remaining regular regions. In the process of dealing with the domain coupling interface, there are two processing methods, one is the conservative coupling processing method; the other is the non-conservative coupling processing method. In the actual calculation process, we use the bad element indicator to judge whether the solution near the interface is sufficiently smooth. If the solution is sufficiently smooth, the non-conservative coupling method is used at the interface, otherwise, the conservative coupling method is used.

Description

Technical field: [0001] The invention relates to the field of computational fluid dynamics numerical methods, in particular to a high-precision numerical 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] Currently popular high-precision numerical methods mainly include discontinuous finite element method (DG), high-precision finite volume methods, such as ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 刘铁钢王坤程剑
Owner 三多(杭州)科技有限公司
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