Numerical Computation of Internal and External Flows, Volume 1

Charles Sidney Hirsch was an American forensic pathologist who served as the Chief Medical Examiner of New York City from 1989 until 2013. He oversaw the identification of victims from the World Trade Center attacks in 2001.

• PrefaceNomenclaturePart 1 The Mathematical Models for Fluid Flow Simulations at Various Levels of Approximation IntroductionChapter 1 The Basic Equations of Fluid DynamicsChapter 2 The Dynamic Levels of ApproximationChapter 3 The Mathematical Nature of the Flow Equations and their Boundary ConditionsPart II Basic Discretization TechniquesChapter 4 The Finite Difference MethodChapter 5 The Finite Element MethodChapter 6 Finite Volume Method and Conservative DiscretizationsPart III The Analysis of Numerical SchemesChapter 7 The Concepts of Consistency, Stability and ConvergenceChapter 8 The Von Neumann Method for Stability AnalysisChapter 9 The Method of the Equivalent Differential Equation for the Analysis of StabilityChapter 10 The Matrix Method for Stability AnalysisPart IV The Resolution of Discretized EquationsChapter 11 Integration Methods for Systems of Ordinary Differential EquationsChapter 12 Iterative Methods for the Resolution of Algebraic SystemsAppendix Thomas Algorithm for Tridiagonal SystemsIndex