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Fluid-solid coupling calculation method based on Lagrange-Euler stable collocation

A technology of fluid-solid coupling and calculation methods, applied in calculation, computer-aided design, complex mathematical operations, etc., can solve problems such as instability, achieve accurate capture, achieve strong coupling calculations, and improve accuracy and efficiency.

Pending Publication Date: 2022-07-15
TONGJI UNIV
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Problems solved by technology

But the particles in the MPM show instability when passing through the background mesh

Method used

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  • Fluid-solid coupling calculation method based on Lagrange-Euler stable collocation
  • Fluid-solid coupling calculation method based on Lagrange-Euler stable collocation
  • Fluid-solid coupling calculation method based on Lagrange-Euler stable collocation

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Embodiment

[0145] This embodiment solves and calculates for the two-dimensional cylindrical water entry problem, such as Image 6 shown, a radius r 0 =0.055m two-dimensional semi-buoyant cylinder from H c = 0.5m in initially calm water. "Semi-buoyant" means that the weight of a cylinder is equal to half of the buoyancy of the cylinder when it is fully submerged in water. The densities of the cylinder and water are ρ c =0.5×10 3 kg / m 3 and ρ w =1.0×10 3 kg / m 3 , the kinematic viscosity of water is υ=1.01×10 -6 m 2 / s. Since the cylinder falls freely before it touches the water surface, the instantaneous velocity of the cylinder when it touches the water surface can be calculated from Newton's law, namely v 0 =-2.955m / s. The entire pool is discretized into 302 × 364 Euler background nodes as an Euler domain, and the water in the pool is discretized using 235,332 Lagrangians. According to the stability condition, the time step of the solution is set to Δt = 5.0 × 10 -4 s.

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Abstract

The invention relates to a fluid-solid coupling calculation method based on Lagrange-Euler stable collocation. The fluid-solid coupling calculation method comprises the following steps: carrying out initialization processing; fluid information is mapped to Euler nodes from Lagrange particles, and a free surface and a fluid-solid interface are determined; extrapolating fluid velocities of Euler nodes near the free surface and the fluid-solid interface; solving a control equation of a fluid-solid coupling problem on an Euler node through a stable point collocation method, and calculating the speed of the structure; extrapolating the fluid velocities of the Euler nodes near the free surface and the fluid-solid interface again; mapping a solving result to a Lagrange particle from an Euler node, and correcting the speed of the particle; updating the Lagrange particles, and redistributing the fluid particles; and judging whether the total duration of the current time step is greater than a set simulation duration, if so, performing post-processing, otherwise, updating the current time step, and returning to iterative solution. Compared with the prior art, the method can efficiently, accurately and stably solve and calculate the fluid-solid coupling problem.

Description

technical field [0001] The invention relates to the technical field of fluid-structure coupling calculation, in particular to a fluid-structure coupling calculation method based on Lagrangian-Eulerian stable collocation points. Background technique [0002] The fluid-structure interaction problem involving free surface widely exists in engineering and nature. The traditional research on this problem mainly includes theoretical analysis and experimental research. With the development of computer technology, numerical simulation has become an economical and effective way to study this problem. method. In the fluid-structure interaction problem involving the free surface of the fluid, on the one hand, the fluid pressure promotes the movement and deformation of the structure, while the moving structure restricts the fluid flow; on the other hand, the fluid domain changes with the evolution of the free surface and the movement of the structure , while the free surface is determi...

Claims

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Application Information

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IPC IPC(8): G06F30/25G06F17/12G06F113/08G06F119/14
CPCG06F30/25G06F17/12G06F2113/08G06F2119/14Y02T90/00
Inventor 王莉华钱志浩
Owner TONGJI UNIV
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