An improvement of fractional step methods for the incompressible Navier-Stokes equations
Journal of Computational Physics
Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions
Journal of Computational Physics
Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
Journal of Computational Physics
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
Applied Numerical Mathematics - Special issue on time integration
On the stability of implicit-explicit linear multistep methods
Applied Numerical Mathematics - Special issue on time integration
Fully conservative higher order finite difference schemes for incompressible flow
Journal of Computational Physics
Journal of Computational Physics
Multilevel algorithms for multi-constraint graph partitioning
SC '98 Proceedings of the 1998 ACM/IEEE conference on Supercomputing
A semi-implicit method for resolution of acoustic waves in low Mach number flows
Journal of Computational Physics
Additive Runge-Kutta schemes for convection-diffusion-reaction equations
Applied Numerical Mathematics
Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
Applied Numerical Mathematics
A robust high-order compact method for large eddy simulation
Journal of Computational Physics
Journal of Computational Physics
Jacobian-free Newton-Krylov methods: a survey of approaches and applications
Journal of Computational Physics
Applied Numerical Mathematics
Higher entropy conservation and numerical stability of compressible turbulence simulations
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Stable artificial dissipation operators for finite volume schemes on unstructured grids
Applied Numerical Mathematics
Journal of Computational Physics
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
Journal of Computational Physics
Stable and accurate schemes for the compressible Navier-Stokes equations
Journal of Computational Physics
A stable high-order finite difference scheme for the compressible Navier-Stokes equations
Journal of Computational Physics
A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows
Journal of Computational Physics
Journal of Computational Physics
Analysis and optimization of numerical sponge layers as a nonreflective boundary treatment
Journal of Computational Physics
Journal of Computational Physics
On a robust ALE method with discrete primary and secondary conservation
Journal of Computational Physics
Hi-index | 31.46 |
An adaptive implicit-explicit scheme for Direct Numerical Simulation (DNS) and Large-Eddy Simulation (LES) of compressible turbulent flows on unstructured grids is developed. The method uses a node-based finite-volume discretization with Summation-by-Parts (SBP) property, which, in conjunction with Simultaneous Approximation Terms (SAT) for imposing boundary conditions, leads to a linearly stable semi-discrete scheme. The solution is marched in time using an Implicit-Explicit Runge-Kutta (IMEX-RK) time-advancement scheme. A novel adaptive algorithm for splitting the system into implicit and explicit sets is developed. The method is validated using several canonical laminar and turbulent flows. Load balance for the new scheme is achieved by a dual-constraint, domain decomposition algorithm. The scalability and computational efficiency of the method is investigated, and memory savings compared with a fully implicit method is demonstrated. A notable reduction of computational costs compared to both fully implicit and fully explicit schemes is observed.