Water body modeling method for shallow water equation model with optimized parameters

A technology of shallow water equations and modeling methods, which can be used in electrical digital data processing, special data processing applications, instruments, etc., and can solve problems such as slow calculation speed and inability to realistically simulate water bodies

Active Publication Date: 2017-07-07
BEIHANG UNIV
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Problems solved by technology

[0005] The purpose of the present invention is to solve the shortcomings of the above-mentioned existing traditional shallow water equation model water body mo...

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  • Water body modeling method for shallow water equation model with optimized parameters
  • Water body modeling method for shallow water equation model with optimized parameters
  • Water body modeling method for shallow water equation model with optimized parameters

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Embodiment Construction

[0040] The technical solutions of the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments.

[0041] The present invention proposes a parameter-optimized shallow-water equation model water body modeling method, which improves the stability of the model by adopting dynamic coordinate system modeling in the process of establishing the shallow-water equation model; then, in the process of solving the equation, for the advection item The calculation of the method adopts the combination of reverse path tracing and characteristic line method, and the calculation of external force adopts the combination of vector projection and Fourier transform, which improves the calculation efficiency and performance of the model.

[0042] The present invention proposes a parameter-optimized shallow-water equation model water body modeling method, aiming at improving the performance of the traditional shallow-water equation model ...

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Abstract

The invention discloses a water body modeling method for a shallow water equation model with optimized parameters. According to the method, first, a three-dimensional dynamic coordinate system is constructed, and the shallow water equation model with optimized parameters is derived; when the model is solved, a reverse path tracking method and a method of characteristics are combined to solve an advective item in an equation, a vector projection method and a Fourier transformation method are combined to solve the effect of external acting force on a water body, and therefore a velocity field and a height field are updated; next, boundary check is performed, a boundary truncation method is adopted to process mesh points beyond a boundary; and last, the height field is drawn, and a next time period is processed cyclically. Compared with a traditional shallow water equation, when the contact surface between the water body and a solid is excessively steep, a water body model can be constructed more vividly and accurately, and the velocity of average 24.9 frame/second can be reached in the water body modeling simulation process; compared with a traditional method, the velocity is increased by 29.016%, and real-time simulation can be realized basically.

Description

technical field [0001] The invention relates to the field of computer graphics, in particular to a parameter-optimized shallow water equation model water body modeling method. Background technique [0002] Complex fluid simulation technology has always been a hot topic in computer graphics. Among the many methods of computer fluid simulation, physics-based fluid simulation uses fluid dynamics equations to describe the change of physical quantities such as velocity, pressure, and density inside the water body over time, so that water body fluctuations and other details can be truly presented. [0003] There is the famous Navier-Stokes equation in describing the fluid dynamics equation (reference 1: M.Griebel, T.Dornsheifer, T.Neunhoeffer. Numerical Simulation in Fluid Dynamics: A Practical Introduction [M]. SIAM: Society for Industrial and Applied Mathematics, 1997.), referred to as N-S equation. However, the N-S equation is a nonlinear partial differential equation, which ...

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Application Information

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IPC IPC(8): G06F19/00
CPCG16Z99/00
Inventor 艾明晶徐涵杜安定
Owner BEIHANG UNIV
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