High-order gas-kinetic schemes with non-compact and compact reconstruction for implicit large eddy simulation

High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations

In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is consistent with its numerical rate of convergence. The maximum absolute errors in the solution at grid points are calculated and it is shown that the ...

High-Order Implicit Large-Eddy Simulation for Transitional Aerodynamics Flows

This thesis presents a high-order Implicit Large-Eddy Simulation (ILES) approach for simulating transitional aerodynamic flows. The approach consists of a hybridized Discontinuous Galerkin (DG) method for the discretization of the Navier-Stokes (NS) equations and a parallel preconditioned Newton-GMRES solver for the resulting nonlinear system of equations. The combination of hybridized DG metho...

A High-order Compact Finite-difference Scheme for Large-eddy Simulation of Active Flow Control

Implicit Large Eddy Simulation for the High-Order Flux Reconstruction Method

The Flux Reconstruction Method/ Correction Procedure via Reconstruction (FR/ CPR) is a high-order numerical method for computational fluid dynamics. It combines the Finite Element method and the Finite Volume method, with a polynomial distribution of variables in a computational cell, and Riemann solver applied at the cell boundaries. The FR/ CPR method has a similar resolving ability to the fa...

Application of Compact Schemes to Large Eddy Simulation of Turbulent Jets

We present 3-D Large Eddy Simulation (LES) results for a turbulent Mach 0.9 isothermal round jet at a Reynolds number of 100,000 (based on jet nozzle exit conditions and nozzle diameter). Our LES code is part of a Computational Aeroacoustics (CAA) methodology that couples surface integral acoustics techniques such as Kirchhoff’s method and the Ffowcs Williams-Hawkings method with LES for the fa...