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

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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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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