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Accelerating method for two-dimensional limited control volume calculation

A volume calculation and control volume technology, applied in calculation, design optimization/simulation, special data processing applications, etc., can solve problems such as low efficiency, and achieve the effect of improved operating efficiency, simple method, and good stability

Active Publication Date: 2018-03-09
施勇
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Problems solved by technology

[0003] However, due to the complexity of the implicit algorithm for constructing the unstructured grid finite volume method and the iterative instability of the huge sparse matrix, most of them currently use the unstructured grid finite volume explicit algorithm, because the time step of the explicit algorithm is limited The efficiency is not high when performing long-duration calculations, which has become the main bottleneck restricting the wide application of the algorithm.

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  • Accelerating method for two-dimensional limited control volume calculation
  • Accelerating method for two-dimensional limited control volume calculation
  • Accelerating method for two-dimensional limited control volume calculation

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Embodiment

[0047] An acceleration method for two-dimensional finite control volume calculation, the steps are as follows:

[0048] Step 1: Optimize grid settings

[0049] Try to use triangular grids as little as possible, according to the calculation formula of Δt when CFL is close to 1:

[0050] When the unit is triangular,

[0051] When the unit is a quadrilateral,

[0052] Among them, Δr is the radius of the inscribed circle of the triangle; ΔX and ΔY are the side lengths of the quadrilateral respectively. Obviously, the time step of the quadrilateral of the same area is almost 1 times the time step of the triangle;

[0053] Step 2: Double time step advancement method

[0054] In the field of aerodynamics, an unsteady flow field calculation method called "dual time advance method" has been developed. That is, when solving the non-constant equations, the two-step method of physical time and virtual time is adopted. The selection of the physical time step depends on the accuracy requirements....

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Abstract

The invention discloses an accelerating method for two-dimensional limited control volume calculation. The accelerating method has the remarkable advantages of simplicity, easiness in transplanting, good stability, improved running efficiency and the like. By simulated practice in recent years, some development is gained in the aspect of improvement on an unstructured grids limited volume explicitalgorithm, and discussion about mesh setting optimization, double-time-axis variable-time and variable-step-length method and the like is emphasized. The accelerating method comprises the following steps: first step, optimizing mesh setting; and second step, carrying out double-time step-length advancing method.

Description

Technical field [0001] The invention relates to an acceleration method for two-dimensional finite control volume calculation, belonging to the field of unstructured grid finite volume calculation. Background technique [0002] In recent years, considerable progress has been made in the study of sediment mathematical models, which are widely used in the prediction of erosion and deposition of river beds in reservoirs, river courses, lakes and estuaries. In order to improve the prediction accuracy, in addition to the research on the deformation mechanism and calculation mode of the river bed, the improvement and innovation of the numerical discrete algorithm of the water and sediment movement equations are also an indispensable and important link. Because of its simplicity and practicality, the finite difference method has become the main algorithm for water and sediment numerical simulation, but it is always not satisfactory in actual simulation work. The main manifestations are: ...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 施勇胡四一谭维炎
Owner 施勇
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