Traditionally spectral methods in fluid dynamics were used in direct and large eddy simulations of turbulent flow in simply connected computational domains. The methods are now being applied to more complex geometries, and the spectral/hp element method, which incorporates both multi-domain spectral methods and high-order finite element methods, has been particularly successful. This book provides a comprehensive introduction to these methods. Written by leaders in the field, the book begins with a full explanation of fundamental concepts and implementation issues. It then illustrates how these methods can be applied to advection-diffusion and to incompressible and compressible Navier-Stokes equations. Drawing on both published and unpublished material, the book is an important resource for experienced researchers and for those new to the field.
About the Author, George E. Karniadakis,Spencer J. Sherwin
Brown University
Imperial College of Science, Technology and Medicine
In order to expand the number of people using the methods, particularly as applied to unstructured meshes as found in computational aerodynamics, Karniadakis (Brown U.) and Sherwen (Imperial College of Science, Technology, and Medicine) provide a unified description of multi-domain spectral methods and high-order finite element methods. They consider such topics as fundamental concepts in one dimension, multi-dimensional expansion bases and formulation, advection equations, and compressible and incompressible flows. Much of the treatment is drawn from Sherwin's doctoral dissertation, which was supervised by Karniadakis. Annotation c. Book News, Inc., Portland, OR (booknews.com)
