A grid-free lattice Boltzmann method based on semi-Lagrangian and a radial basis function

A basis function, gridless technology, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as difficult implementation, and achieve the effect of expanding applications

Pending Publication Date: 2019-06-21
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

At this time, the collision migration process of traditional LBM will be difficult to implement

Method used

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  • A grid-free lattice Boltzmann method based on semi-Lagrangian and a radial basis function
  • A grid-free lattice Boltzmann method based on semi-Lagrangian and a radial basis function
  • A grid-free lattice Boltzmann method based on semi-Lagrangian and a radial basis function

Examples

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Effect test

Embodiment 1

[0045] Such as figure 2 As shown, the two-dimensional roof-driven square cavity flow with different Reynolds numbers can be simulated accurately and effectively by using the method described above.

Embodiment 2

[0047] Such as image 3 As shown, the above-mentioned method can accurately and effectively simulate the flow around a two-dimensional cylinder.

Embodiment 4

[0049] Such as Figure 4 As shown, the above-mentioned method can accurately and effectively simulate the flow around the two-dimensional NACA0012 airfoil.

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Abstract

The invention discloses a grid-free lattice Boltzmann method based on semi-Lagrangian and a radial basis function, and belongs to the field of computational fluid mechanics, which enables the latticeBoltzmann method (LBM) to get rid of the limitation of uniform grids by introducing a semi-Lagrangian method and a radial basis function interpolation method, and further expands the application of the LBM in complex flow problems. The method comprises the following steps: firstly, introducing an SL method into a lattice Boltzmann method, and finding a migration starting point, namely x-e Alpha Delta t, obtaining a distribution function of a starting point (x-e Alpha Delta t) by introducing a local RBF interpolation method; According to the local RBF interpolation method, (a relation is shownin the description), wherein phi (x) is a target position function value, Phi (|| x-xi ||) is a radial basis function, and | | x-xi|| is a Euclidean norm, p (x) is a multivariate polynomial, n is thenumber of supporting points, m is the order of the multivariate polynomial, and m is an interpolation coefficient.

Description

technical field [0001] The invention belongs to the technical field of computational fluid dynamics, in particular to a meshless lattice Boltzmann method based on semi-Lagrangian and radial basis functions. Background technique [0002] Computational fluid dynamics (CFD) is a discipline that uses numerical methods to solve flow problems. Traditional computational fluid dynamics methods usually directly discretize and solve the governing equations of flow, that is, the Navier-Stokes (N-S) equations. Lattice Boltzmann method (LBM), as a novel mesoscopic computational fluid dynamics method, simplifies the motion of fluid to the collision and migration motion of fluid particles, which greatly simplifies the solution of flow problems. Therefore, LBM has gradually become another widely used CFD method and has been successfully applied to complex flow problems such as turbulent flow and multiphase flow. Compared with the traditional CFD method that directly solves the N-S equatio...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 林星箭吴杰张童伟
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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