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Meshless physical deformation simulation method based on moving least squares

A technology of physical deformation and simulation method, which is applied in the field of virtual reality to achieve the effect of simple implementation, stable simulation results and reduced cost

Active Publication Date: 2014-12-03
BEIHANG UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Martin et al. introduced the concept of elastic elements (Elastons) to solve the stability problem of MLS, but this method can only meet the needs of non-real-time physical simulation

Method used

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  • Meshless physical deformation simulation method based on moving least squares
  • Meshless physical deformation simulation method based on moving least squares
  • Meshless physical deformation simulation method based on moving least squares

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Embodiment Construction

[0030] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0031] A method for simulation of meshless physical deformation based on least moving squares, comprising the following steps:

[0032] Step (1), the initialization stage performs physical particle sampling on the simulated material geometric model according to a given sampling resolution, and initializes the material properties of the sampled particles;

[0033] Step (2), dynamically update the physical state of each particle in each physical simulation cycle. First, calculate the physical deformation field of the simulated material through the least moving square function, then calculate the displacement gradient of the simulated material, and then solve key physical quantities such as strain and stress based on the displacement field, and then further calculate the elastic body force and volume retention of the simulated material;

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Abstract

The invention provides a meshless physical deformation simulation method based on moving least squares. The method comprises the following steps: firstly, the algorithm carries out particle sampling for a simulation material geometric model according to a given sampling solution, and initializes the attribute of the sampled particle material; then, the algorithm enters the physical simulation cycle, and resolves an accelerated physical control equation by decomposing the particle stress calculation into a constant quantity and a variable quantity based on jacobian matrix; finally, high-efficiency simulation is executed by decomposing the surface normal vector calculation of an object into a variable quantity and a constant quantity based on a meshless shape function gradient when driving the object to produce surface mesh deformation. The meshless physical deformation simulation method provided by the invention is more stable in simulation result, can obtain higher simulation accuracy, and is comparable to the SPH (smooth particles hydrodynamics) in calculation efficiency for scenes containing simulation particles of similar scale.

Description

technical field [0001] The invention relates to the field of virtual reality, in particular to a gridless physical deformation simulation method based on least moving squares. Background technique [0002] In the field of virtual reality, the accuracy and real-time performance of physical simulation of virtual scenes are getting higher and higher. Traditional non-physical methods, such as free-form models and semi-physical method spring particle models, are difficult to meet certain requirements due to low simulation accuracy. For applications with high requirements, mesh algorithms such as finite element have high simulation accuracy, but the calculation overhead is high, especially when the topology changes, it is difficult to update the physical model accurately in real time. The meshless physical deformation method that has appeared in recent years is very suitable for deformation simulation of objects with variable topology and can guarantee high simulation accuracy. T...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 李帅黄震郝爱民杨丽鹏
Owner BEIHANG UNIV
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