Numerical Techniques for Direct and Large-Eddy Simulations

This work covers basic techniques for DNS and LES that can be applied to practical problems of flow, turbulence, and combustion. It presents numerical methods for compressible and incompressible three-dimensional flows, such as high-order discretization schemes, high-fidelity boundary conditions, and coupling aspects. The book gives sample numerical simulation results that exemplify the practical application of the methods. It also discusses advanced topics and current challenges, including detached eddy simulation, SGS modeling, and multiscale flow simulations. The appendix contains sample FORTRAN programs to illustrate the implementation of finite difference numerical schemes.

Compared to the traditional modeling of computational fluid dynamics, direct numerical simulation (DNS) and large-eddy simulation (LES) provide a very detailed solution of the flow field by offering enhanced capability in predicting the unsteady features of the flow field. In many cases, DNS can obtain results that are impossible using any other means while LES can be employed as an advanced tool for practical applications. Focusing on the numerical needs arising from the applications of DNS and LES, Numerical Techniques for Direct and Large-Eddy Simulations covers basic techniques for DNS and LES that can be applied to practical problems of flow, turbulence, and combustion.

After introducing Navier–Stokes equations and the methodologies of DNS and LES, the book discusses boundary conditions for DNS and LES, along with time integration methods. It then describes the numerical techniques used in the DNS of incompressible and compressible flows. The book also presents LES techniques for simulating incompressible and compressible flows. The final chapter explores current challenges in DNS and LES.

Helping readers understand the vast amount of literature in the field, this book explains how to apply relevant numerical techniques for practical computational fluid dynamics simulations and implement these methods in fluid dynamics computer programs.