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Earth fluid substance stratospheric transportation simulation method based on alternate TVD (Total Variation Diminishing) differential algorithm

A technology of simulation method and differential algorithm, which is applied in calculation, ICT adaptation, computer-aided design, etc., can solve problems such as unsatisfactory simulation results, numerical dispersion, and limit functions that cannot well control the strength of high-precision items. Achieve the effects of weakening numerical diffusion and counter-diffusion pseudo effects, small errors, and eliminating numerical dispersion problems

Active Publication Date: 2017-09-05
刘哲 +1
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Problems solved by technology

[0019] Although there are many kinds of TVD restriction functions, the use of a single restriction function cannot well control the intensity of the high-precision items added in the TVD format, which causes the above TVD numerical format to still have a certain numerical diffusion (for example, Minmod , Van Leer, MUSCL, HSIMT) and backdiffusion (eg, Superbee) spurious effects
In addition, the previous TVD format can guarantee that the total variation does not increase in the one-dimensional case, but it is not satisfactory in the multi-dimensional case, and there is still numerical dispersion
Therefore, there are still unsatisfactory simulation results when using the existing TVD advection difference scheme to simulate the material transport in the earth fluid for a long time

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  • Earth fluid substance stratospheric transportation simulation method based on alternate TVD (Total Variation Diminishing) differential algorithm
  • Earth fluid substance stratospheric transportation simulation method based on alternate TVD (Total Variation Diminishing) differential algorithm
  • Earth fluid substance stratospheric transportation simulation method based on alternate TVD (Total Variation Diminishing) differential algorithm

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[0059] It should be pointed out that the following detailed description is exemplary and intended to provide further explanation to the present application. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.

[0060]It should be noted that the terminology used here is only for describing specific implementations, and is not intended to limit the exemplary implementations according to the present application. As used herein, unless the context clearly dictates otherwise, the singular is intended to include the plural, and it should also be understood that when the terms "comprising" and / or "comprising" are used in this specification, they mean There are features, steps, operations, means, components and / or combinations thereof.

[0061] The dimension of the discrete equation of earth fluid substance transportation is at least two-dimensional...

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Abstract

The invention discloses an earth fluid substance stratospheric transportation simulation method based on an alternate TVD (Total Variation Diminishing) differential algorithm. The method comprises the following steps: constructing a stratospheric transportation equation of an earth fluid substance, and then performing numerical discretization on the stratospheric transportation equation, thus obtaining a discretization equation of earth fluid substance transportation; decomposing the discretization equation of the earth fluid substance transportation into a step number equal to the dimension number; obtaining flow field data of the earth fluid substance, inputting the flow field data into the discretization equation of the earth fluid substance transportation for value iteration calculation, and forecasting the concentration of the earth fluid substance within each preset iteration time period; in the value iteration calculation process, respectively calculating the concentration of the earth fluid substance of the next time period on each dimension according to the step number equal to the dimension number through different types of TVD limiting functions within different preset iteration time periods, and finally simulating and forecasting a change of the concentration of the fluid substance in the stratospheric transportation process of the earth fluid substance.

Description

technical field [0001] The invention belongs to the field of numerical simulation and calculation of fluid dynamics, and in particular relates to an advection transport simulation method of earth fluid material based on an alternate TVD difference algorithm. Background technique [0002] Numerical models are important tools for studying and predicting the movement of rivers and oceans in nature and the transport of materials in them. With the development of computer technology and social economy, numerical models are widely used in scientific research, business forecasting, and environmental management of lakes and oceans. Planning and other industries play an increasingly important role. [0003] Advection is the main process of carrying substances in the earth's fluids for space transport, and the advection process can be expressed as Equation (1). In the numerical model, the difference method is usually used to discretize the formula (1) to obtain the advection differenc...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20G06F2119/06Y02A90/10
Inventor 刘哲林磊
Owner 刘哲
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