1st Edition
Defect Correction Methods for Fluid Flows at High Reynolds Numbers
1 Introduction 2 Artificial viscosity and defect correction 3 Deferred Correction in MagnetoHydroDynamics 4 Deferred Correction with a Turbulence Model 5 Can defect correction replace a turbulence model? 6 Deferred Correction for a Fluid-Fluid Interaction Problem 7 Large Eddy Simulation with Correction (LES-C): a New Class of Turbulence Models 8 Scale Truncation and the Energy Balance of the ADC 9 Defect-Deferred Correction: the Full ADC Model for the NSE 10 The Full ADC Model for Magnetohydrodynamics 11 Another LES-C Model for a Fluid-Fluid Interaction Problem Bibliography Index
Biography
Alexander Labovsky is an Associate Professor of Mathematical Sciences at Michigan Technological University. His research interests include high accuracy methods for PDEs, multiscale modelling and numerical analysis of turbulence models for Navier-Stokes and coupled Navier-Stokes systems (fluid-fluid interaction, magnetohydrodynamics). He also has ongoing projects in Uncertainty Quantification and modelling of compressible flows.
