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Regional-decomposition based high-precision coupling fast-calculation method for complex-shape flow field

A region decomposition, fast algorithm technology, applied in computing, special data processing applications, instruments, etc., can solve the problem of small computational load and high computational efficiency

Active Publication Date: 2014-09-10
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.

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  • Regional-decomposition based high-precision coupling fast-calculation method for complex-shape flow field
  • Regional-decomposition based high-precision coupling fast-calculation method for complex-shape flow field
  • Regional-decomposition based high-precision coupling fast-calculation method for complex-shape flow field

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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 regional-decomposition based coupling fast-calculation method for a high-precision DG (discontinuous Galerkin) and WENO (weighted essentially non-oscillatory) method to solve a hyperbolic conservation law equation and an Euler equation set. In the method, original problems are firstly subjected to regional decomposition, in other words, the structural or non-structural DG method is adopted in nearby regions of a physical boundary, and a finite element differential type WENO format under the structural grid is used in other regulation areas. During handling a regional coupling interface, two handling methods are adopted, and one is a conservative coupling handling method while the other one is a nonconservative coupling handling method. In the process of actual calculation, a bad unit indicator is used for judging whether decomposition nearby the interface is sufficiently smooth or not, if yes, the nonconservative coupling method is adopted at the position of the outer interface, and if not, the conservative coupling method is adopted.

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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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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