Numerical Methods in Turbulence Simulation

Chapter 3: Spectral element methods for turbulence

Paul F. Fischer^a; Ananias G. Tomboulides^b    aDepartment of Computer Science, and Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, United States^bSchool of Mechanical Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece

Abstract

This chapter introduces spectral element methods (SEMs), which extend the efficiencies of high-order global tensor-product bases of spectral methods to unstructured multidomain configurations suited to the simulation of turbulence in complex geometries. Like its monodomain counterpart, the SEM exhibits rapid convergence with increasing polynomial order that yields minimal numerical dissipation and dispersion. ...