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IB (Immersed Boundary) method

A series, boundary technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as less application of finite volume method

Inactive Publication Date: 2015-03-04
NORTHWESTERN POLYTECHNICAL UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The current IB methods are generally less applied to finite volume methods, and none of the IB methods has ever calculated the influence of the boundary on the interface flux of the surrounding finite volume elements, which is important for ensuring the impenetrability of the boundary more important

Method used

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  • IB (Immersed Boundary) method

Examples

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Embodiment Construction

[0048] If given a specific stationary / moving boundary problem, a better and more representative embodiment of the present invention is as follows:

[0049] 1. Generate a Cartesian grid of the entire computational domain, given the initial physical quantity of each unit;

[0050] 2. Express the object boundary as a series of discrete points with known coordinates, and the point spacing is 1.4 to 2 grid lengths;

[0051] 3. Set this time step t n+1 -t n Lagrangian acceleration of Initial value, if it is the first time step t 1 -t 0 , can take any value, if it is not the first time step, take the Lagrangian acceleration of the previous time step final iteration value As the initial value of this time step iteration

[0052] 4. Use the Lagrangian acceleration value of the kth iteration of this time step Calculate the Euler point acceleration by formula (1) a → ( k ) ...

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Abstract

The invention discloses an IB (Immersed Boundary) method and belongs to a method for treating the boundary of a moving object with complex processing in computational fluid mechanics. According to the method, simple Cartesian grids are adopted; a series of Lagrangian points are used for expressing the boundary of the object; the influence of the boundary on fluid in a surrounding unit is expressed as the action of force; the force is solved by adopting an implicit iteration method, so that non-slip boundary conditions are guaranteed; a flow field is solved by using a BGK (Bhatnagar Gross Krook) format under the action of external force; a unit interface flux is considered under the influence of an immersed boundary force. According to the IB method, a good precision is obtained; non penetrability of the boundary can be better guaranteed; complexity and winding of the moving object in incompressible viscous flow can be conveniently simulated; any special processing on the grids is avoided.

Description

Technical field [0001] The invention relates to a method for dealing with complex and moving object boundaries when calculating viscous and incompressible flows in computational fluid dynamics. Background technique [0002] In modern computational fluid dynamics, it is often necessary to deal with the flow problems of objects with complex shapes and motions. For objects with complex curved boundaries, the traditional processing method is to generate a structured or unstructured grid that fits the boundaries of the object. Considering the grid topology and grid quality, a more complex algorithm is required to generate a satisfactory grid. , Even needs experienced personnel to adjust repeatedly, and the efficiency is low. The Cartesian grid-based cutting unit method developed in recent years uses the object boundary to cut out the calculation grid from the background grid. The grid generation is fast, but it is easy to generate irregular, non-convex, and small-volume grid uni...

Claims

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Application Information

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IPC IPC(8): G06F19/00
Inventor 袁瑞峰钟诚文张贺
Owner NORTHWESTERN POLYTECHNICAL UNIV
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