Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Performance of under-resolved two-dimensional incompressible flow simulations
Journal of Computational Physics
A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
Journal of Computational Physics
Performance of under-resolved two-dimensional incompressible flow simulations, II
Journal of Computational Physics
On thin shear layers numerical simulation
Journal of Computational Physics
On multioperators principle for constructing arbitrary-order difference schemes
Applied Numerical Mathematics - Special issue: Applied numerical computing: Grid generation and solution methods for advanced simulations
Centered prescribed-order approximations with structured grids and resulting finite-volume schemes
Applied Numerical Mathematics - Special issue: Applied scientific computing - Grid generation, approximated solutions and visualization
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The multioperators principle of constructing arbitrary-order approximations and schemes is outlined. Its essence is forming linear combinations of basis operators from certain types of one-parameter operators families by fixing distinct values of the parameter. Highly accurate ninth-order multioperators based schemes for fluid dynamics are presented. Illustrative examples following by direct numerical simulations of thin incompressible 2D shear layers instability are presented. The Navier-Stokes calculations were carried out with complete resolution of turbulent scales. The results obtained for large time intervals show the full history of the flow development with rolling up, generation and decaying of turbulence.