A numerical simulation method for obtaining a flow field of an incompressible flow

Abstract

The present disclosure provides a numerical simulation method for obtaining a flow field of an incompressible flow. The method comprises the steps: reading computational mesh information of a simulation object, physical property parameters of a fluid working medium and flow initial boundary value condition information, and calculating mesh parameters and time step parameters; initializing the velocity field and the pressure field; using m-step explicit Runge-Kutta to solve the momentum equation of incompressible fluid to obtain the virtual velocity field of the simulated object, where m represents the number of steps used and m>=2; based on the virtual velocity field and the read parameters and information, deducing the pressure equation from the continuity equation, and determining the next pressure by the pressure equation; when the last step of the m-step explicit Runge-Kutta is carried out, correcting the velocity field by the obtained pressure, and obtaining the next velocity; using the convergence criterion to judge whether the numerical solution is convergent or not, and if so, outputting the flow field data information, and if it is not convergent, repeating the iterative process until the numerical solution converges.

Description

technical field [0001] The present disclosure relates to a numerical simulation method for obtaining a flow field of an incompressible flow. Background technique [0002] The application of computational fluid dynamics in engineering practice is to solve the discretization of Navier–Stokes equations to simulate various flow phenomena. According to the degree of density change in the flow, the flow is generally divided into compressible flow and incompressible flow. For liquid flow, such as a wide range of hydraulic problems, and gas flow problems with a Mach number less than 0.3, it is generally considered to be incompressible flow. [0003] The main difficulty in solving incompressible flow lies in how to deal with the "velocity-pressure" coupling problem. In order to solve the problem of incompressible flow, researchers have developed a variety of numerical methods, including non-original variable methods and original variable methods. Among the non-primitive variable me...

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Problems solved by technology

After using the momentum interpolation method, the SIMPLE series pressure correction method can better solve the non-physical oscillation of the pressure, but this method has high requirements on the grid quality, and the nonlinear momentum equation is linearized and iteratively solved, the linearized momentum The convergence of the equation is not good, the programming is more complicated, and the amount of calculation is large

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