Abstract
We describe the low Mach variable-density Navier-Stokes numerical iterative solution procedure implemented in the finite-volume unstructured T-FlowS code. As the test cases we use a number of analytic manufactured solutions and Rayleigh-Taylor instability problem from the literature for algorithm verification purposes. The tests show that the code is second-order accurate in agreement with the spatial discretization scheme. We outline the recent combustion ADEF model implemented in the program.
Highlights
During the last few decades rapid development of the computational technologies stimulated the research using computational codes for fundamental and applied studies
We describe the low Mach variable-density Navier-Stokes numerical iterative solution procedure implemented in the finite-volume unstructured T-FlowS code
As the test cases we use the analytic manufactured solutions derived by Shunn et al [10], the Rayleigh-Taylor instability problem employed by Desjardins et al [11] and describe the combustion modeling framework [12] used in Large-eddy simulations of the Cambridge stratified burner [13]
Summary
During the last few decades rapid development of the computational technologies stimulated the research using computational codes for fundamental and applied studies. The following iteration procedure similar to the one described by [14] is implemented into the finite-volume T-FlowS code [15] employing unstructured cell-centered collocated grids and featuring second-order accuracy in time and space. Step 2: Update the density from the equation of state using the provisional scalar values: ρn+1 = f (φn0+1). Note that δgin = δgin−1 = 0 provided the algorithm has satisfied both the momentum and continuity equations on previous time steps. Step 6: The momentum components, velocity and pressure at the cell centers are updated: gin+1. Problem 3: two-dimensional oscillating density field Further we consider a time-periodic solution of the following form (see Fig. 5):. While unstructured meshes demonstrate similar absolute level of the L2-error, the hexahedral grids with the present algorithm bring lower error compared to the data from the literature
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