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### A CFD book tilted " Immersed Boundary Method for CFD" published

 Posted By: Guangfa Yao Date: Thu, 25 Aug 2016, 3:59 p.m.

A CFD book titled "Immersed Boundary Method for CFD" is just published and available on amazon.com. Below are links and the list of the book contents:

CONTENTS Preface List of Symbols 1 Introduction 2 Level Set Function and Its Properties • 2.1 An Introduction of the Level Set Function • 2.2 Properties of the Level Set Function 3 Representing and Tracking Solid Bodies Using a Level Set Function • 3.1 Cartesian Mesh for a Computational Domain • 3.2 Construction of a Distance Function (Level Set Function) o 3.2.1 A Summary of Simple Formulas for Geometry Calculation o 3.2.2 Closest Point Transform for Two-Dimensional Cases o 3.2.3 Closest Point Transform for Three-Dimensional Cases • 3.3 Interpolation of Variables Using a Level Set Function • 3.4 Calculation of Volume Fraction o 3.4.1 Volume Fraction Calculation Based on Gauss Theorem o 3.4.2 Volume Fraction Calculation Based on Singular Functions • 3.5 Tracking a Solid Body Movement Using a Coordinate Transformation • 3.6 Solving the Level Set Equation Using a High Order WENO Approach • 3.7 Governing Equations for a Moving Solid Body o 3.7.1 Derivative of a Rotating Vector o 3.7.2 Governing Equations for a Moving Solid Body 4 Fractional Step Methods for Incompressible Fluid Flow • 4.1 Fractional Step Method and Temporal Discretization • 4.2 Treatment of Boundary Conditions • 4.3 Spatial Discretization • 4.4 Solution Procedure and Validation 5 Body Force Based Immersed Boundary Methods • 5.1 An Introduction of Immersed Boundary Methods • 5.2 Direct Forcing Approach o 5.2.1 An Overview of the Direct Forcing Approach o 5.2.2 A Direct Forcing Approach and its Validation o 5.2.3 Calculation of Force and Torque for a Solid Body Immersed in a Fluid Region o 5.2.4 Validation of the Presented Solution Procedure • 5.3 Volume Fraction Based Approach o 5.3.1 One-Fluid Formulation o 5.3.2 Rigidity Constraint of Solid Bodies in a Fluid-Solid System o 5.3.3 Body Force Derivations o 5.3.4 Tracking Solid Bodies in a Computational Domain o 5.3.5 A Solution Approach and its Validation • 5.4 δ-function Based Approach o 5.4.1 An Overview of δ-function Based Approaches o 5.4.2 A δ-function Based Approach and its Validation o 5.4.3 A Numerical Example for Modeling a Moving Solid Body in a Fluid Domain o 5.4.4 Comments for Further Reading 6 A Sharp Interface Based Immersed Boundary Method • 6.1 Flagging of a Flow Domain • 6.2 Solution of Momentum Equations • 6.3 Solution of Pressure and Velocities at a New Time Level • 6.4 Overall Solution Procedure • 6.5 Calculation of Force and Torque on a Solid Body Immersed in a Fluid Domain o 6.5.1 Pressure Contribution to Force and Torque o 6.5.2 Viscous Contribution to Force and Torque • 6.6 A Numerical Example 7 Conclusion Remarks A Bilinear and Trilinear Interpolation References Index

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