The design and analysis of numerical methods are usually guided by the following:(a) von
Neumann analysis using Fourier series expansion of unknowns,(b) the modified differential …

Nonlinear convective terms pose the most critical issues when a numerical discretization of
the Navier–Stokes equations is performed, especially at high Reynolds numbers. They are …

An efficient lattice Boltzmann (LB) model relying on a hybrid recursive regularization (HRR)
collision operator on D3Q19 stencil is proposed for the simulation of three-dimensional high …

In this work we present a mimetic spectral element discretization for the 2D incompressible
Navier–Stokes equations that in the limit of vanishing dissipation exactly preserves mass …

The application of pseudo-symplectic Runge–Kutta methods to the incompressible Navier–
Stokes equations is discussed in this work. In contrast to fully energy-conserving, implicit …

We analyze the conservation properties of various discretizations of the system of
compressible Euler equations for shock-free flows, with special focus on the treatment of the …

Approximate Projection Method for the Incompressible Navier–Stokes Equations | AIAA
Journal Skip to main content AIAA ARC logo Search Search Anywhere Find by Paper Quick …

Energy-conserving discretizations are widely regarded as a fundamental requirement for
high-fidelity simulations of turbulent flows. The skew-symmetric splitting of the nonlinear term …

A conservative approach for MPI-based parallelization of tridiagonal compact schemes is
developed in the context of multi-block finite-volume methods. For each block, an enlarged …

Nonlinear instabilities are one of the major problems in turbulence simulations. One reason
behind this problem is the accumulation of aliasing errors produced by the discrete …