Arbitrary Lagrange Euler method based on multi-dimensional Riemann solution

Abstract

The invention discloses an arbitrary Lagrange Euler method based on the multi-dimensional Riemann solution. The method is used for solving two-dimensional compressible fluid mechanics equation sets and relevant issues based on the same. The arbitrary Lagrange Euler method based on the multi-dimensional Riemann solution includes: grid generation and physical quantity initial distribution; determination of a strategy and a manner of grids at a next moment; determination of a two-dimensional Riemann solution implement algorithm of grid cell frontier flux; expression form of the grid cell frontier flux; acquisition of a numerical method of a calculation result at the next moment. The novel two-dimensional Riemann solution implement algorithm for determining the grid cell frontier flux is provided, conditions such as proneness to distortion of grids, instability of numerical value impact waves and the like resulted from a traditional one-dimensional Riemann solution can be overcome, and the defect that an existing two-dimensional Riemann solution method is too complicated to implement is corrected. The arbitrary Lagrange Euler method based on the multi-dimensional Riemann solution is a simple, robust and precise numerical algorithm component, suitable for numerical simulation of multimedium large-deformation problems, and further suitable for currently popular forms of finite differences, finite volume and finite element methods.

Description

technical field [0001] The invention belongs to the technical field of numerical simulation of fluid mechanics, and relates to an arbitrary Lagrangian Euler method based on a multidimensional Riemannian solution, in particular, to an arbitrary Lagrangian Euler method using a two-dimensional Riemannian solution to simulate a multi-media compressible flow. Grange Euler method. Background technique [0002] Numerical simulation of large deformation problems in multi-media is a challenging subject in numerical simulation of fluid mechanics problems. It needs to solve problems involving the interaction of multiple media and violent motion (such as elastic-plastic problems of media impact and action, detonation problems, high-temperature and high-pressure radiation hydrodynamic problems). In this type of problem, the medium often has complex physical properties, the state quantity (density, pressure) will change suddenly (shock wave, detonation wave appears), and the action area ...

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Problems solved by technology

[0006] In order to overcome the defects in the prior art, the present invention provides an arbitrary Lagrangian Euler method using two-dimensional Riemann solution to simulate the compressible flow of multi-media. For complex fluid mechanics calculation problems, the developed method can adapt to The complex grid system has the ability to distinguish multi-media problems and achieve good calculation results

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