High Order Methods for Incompressible Fluid Flow

Annotation High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular sttention given to enforcement of imcompressibility. Advanced discretizations. implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications High-order Numerical Methods Provide An Efficient Approach To Simulating Many Physical Problems. This Book Considers The Range Of Mathematical, Engineering, And Computer Science Topics That Form The Foundation Of High-order Numerical Methods For The Simulation Of Incompressible Fluid Flows In Complex Domains. Introductory Chapters Present High-order Spatial And Temporal Discretizations For One-dimensional Problems. These Are Extended To Multiple Space Dimensions With A Detailed Discussion Of Tensor-product Forms, Multi-domain Methods, And Preconditioners For Iterative Solution Techniques. Numerous Discretizations Of The Steady And Unsteady Stokes And Navier-stokes Equations Are Presented, With Particular Attention Given To Enforcement Of Incompressibility. Advanced Discretizations, Implementation Issues, And Parallel And Vector Performance Are Considered In The Closing Sections. Numerous Examples Are Provided Throughout To Illustrate The Capabilities Of High-order Methods In Actual Applications. Computer Scientists, Engineers And Applied Mathematicians Interested In Developing Software For Solving Flow Problems Will Find This Book A Valuable Reference. M. O. Deville, P. F. Fischer, E. H. Mund. Title From Publisher's Bibliographic System (viewed On 01 Jun 2016). Mode Of Access: World Wide Web. According to the Greek philosopher Heraclitus, who used to say daily life is concerned with the flow of ordinary fluids: water, air, blood, and so forth, in very common situations like breathing, coffee drinking, and hand washing.