A high-order CFD implicit time propulsion method based on a linearization matrix hybrid solution mode

Abstract

The invention discloses a high-order CFD implicit time propulsion method based on a linearization matrix hybrid solution mode, and belongs to the technical field of computational fluid mechanics. An existing method is very poor in universality and low in efficiency, computing codes need to be recompiled for different items in a control equation, programming implementation is not facilitated, and therefore the workload of fluid simulation is large, the efficiency is low, and the computing result and flow field information of fluid simulation cannot be obtained rapidly and effectively. Accordingto the invention, a total differential and chain type rule is adopted; the derivative of the dependency on the degree of freedom is directly converted into a product of the derivative of the dependency on the variable and the derivative of the variable on the degree of freedom; Compared with a traditional method, the method has the advantages that the calculation amount can be greatly reduced, the calculation efficiency is improved, the universality is realized, the programming realization is facilitated, the accuracy of the linearization matrix is considered, and the fluid simulation resultand the flow field information can be quickly obtained.

Description

technical field [0001] The invention relates to a high-order CFD implicit time advancing method based on a mixed solution mode of a linearized matrix, and belongs to the technical field of computational fluid dynamics. Background technique [0002] Due to its great advantages in dispersion and dissipation, the high-order discontinuous Kalerkin method has been widely researched and applied in the field of computational fluid dynamics (English abbreviation: CFD). Considering the influence of factors such as stability conditions, the implicit time-advancing method is most commonly used in the high-order discontinuous Kalerkin method. In the process of implicit time advancement, the core content is to solve the linearization matrix of each unknown quantity. How to efficiently and accurately solve the linearization matrix is ​​an important research content in the implicit calculation method. [0003] In the past, there are mainly two methods for solving linearized matrices, man...

AI Technical Summary

Problems solved by technology

This method has a small amount of calculation, but the code versatility is very poor and the efficiency is low

For different items in the control equation, the calculation code needs to be rewritten, which is not conducive to programming implementation, resulting in a large workload and low efficiency of fluid simulation, and it is also impossible to quickly and effectively obtain the calculation results and flow field information of fluid simulation

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