THE INFLUENCE OF DISSIPATIVE ERRORS OF MIMOZA CODE ON THE RATE OF CHANGES OF KINETIC ENERGY IN THE TAYLOR-GREEN VORTEX DECAY PROCESS
A. N. Razin, V. V. Zmushko, A. A. Sinelnikova
VANT. Ser.: Mat. Mod. Fiz. Proc 2023. Вып.1. С. 29-41.
The influence of dissipative errors of the difference MIMOZA code on the numerical simulation result is studied by the example of the Taylor-Green vortex decay problem. Euler’s questions are integrated using the second-order scheme with the reconstruction of flows across cell edges. A series of computations with the 3D initial data was performed using a succession of refined meshes containing (N+1)3, (2N+1)3, (4N+1)3, (8N+1)3, and (16N+1)3 cells, N = 32. To assess the influence of the initial conditions on the result, the problem with 2D initial data was simulated. The MIMOZA results obtained in the computation series are compared with each other and, also, with the data of the other authors obtained using the Euler and Navier-Stokes equations. Keywords: Taylor-Green problem, two-dimensional and three-dimensional boundary conditions, laminar-to-turbulent transition, mathematical modeling, dissipation effect.
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