LEADER 05116nam 2200673Ia 450 001 9910825977503321 005 20240505174020.0 010 $a1-282-44289-9 010 $a9786612442896 010 $a981-283-785-X 035 $a(CKB)2550000000002524 035 $a(EBL)477172 035 $a(OCoLC)613384357 035 $a(SSID)ssj0000361726 035 $a(PQKBManifestationID)11262494 035 $a(PQKBTitleCode)TC0000361726 035 $a(PQKBWorkID)10352708 035 $a(PQKB)11050877 035 $a(MiAaPQ)EBC477172 035 $a(WSP)00002101 035 $a(Au-PeEL)EBL477172 035 $a(CaPaEBR)ebr10361796 035 $a(CaONFJC)MIL244289 035 $a(EXLCZ)992550000000002524 100 $a20090918d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aInterface problems and methods in biological and physical flows /$feditors, Boo Cheong Khoo, Zhilin Li, Ping Lin 205 $a1st ed. 210 $aHackensack, NJ $cWorld Scientific$dc2009 215 $a1 online resource (184 p.) 225 1 $aLecture notes series / National University of Singapore. Institute for Mathematical Sciences,$x1793-0758 ;$v17 300 $aDescription based upon print version of record. 311 $a981-283-784-1 320 $aIncludes bibliographical references. 327 $aForeword; Preface; CONTENTS; An Introduction to the Immersed Boundary and the Immersed Interface Methods Robert H. Dillon and Zhilin Li; 1. Introduction; Part I AN INTRODUCTION TO THE IMMERSED BOUNDARY METHOD; 2. Overview of Immersed Boundary Method; 3. Some Applications of the IB Method; 4. Some Technical Issues of the IB Method; Part II A TUTORIAL OF THE IMMERSED INTERFACE METHOD; 5. The Immersed Interface Method for Elliptic Interface Problems; 6. The Augmented Immersed Interface Method and Applications; 7. Simplifying the Immersed Interface Method by Removing Source Singularities 327 $a8. The Immersed Interface Method Using Finite Element Formulations9. The IIM for Free Boundary or Moving Interface Problems; 10. Acknowledgements; References; Lecture Notes on Nonlinear Tumor Growth: Modeling and Simulation John S. Lowengrub, Vittorio Cristini, Hermann B. Frieboes, Xiangrong Li, Paul Macklin, Sandeep Sanga, Steven M. Wise and Xiaoming Zheng; 0. Introduction; 1. Tumor Growth in Homogeneous Tissuea; 1.1. Overview; 1.2. Discrete modeling; 1.3. Continuum modeling; 1.4. Regimes of growth; 1.5. Comparison with experiment; 1.6. Linear analysis; 1.7. Nonlinear results 327 $a2. Tumor Growth in Heterogeneous Tissueb2.1. Overview; 2.2. Governing equations; 2.3. Nonlinear results; 3. Tumor Growth and Neovascularizationc; 3.1. Overview; 3.2. The model; 3.3. Nonlinear results; 4. Conclusion and Future Research Directions; References; Progress in Modeling Pulsed Detonations Frank K. Lu and R. Bellini; 1. Introduction and Literature Review; 2. Overview of Early Studies in Detonations; 2.1. Structure of detonation waves; 3. Review of Numerical Simulation of Pulse Detonation Engines; 3.1. Detonation initiation; 3.2. Detonation stability; 3.3. Numerics and algorithms 327 $a3.5. Turbulence modeling3.6. Chemical kinetics; 4. The Governing Equations; 5. Numerical Method; 5.1. Local ignition averaging method; 6. Numerical Simulations of Pulse Detonations; 6.1. One-dimensional detonation wave propagation; 6.2. Detonation wave propagation through an area enlargement; 7. Outlook and Conclusions; Acknowledgments; References; Direct Numerical Simulations of Multiphase Flows Gr etar Tryggvason and Jiacai Lu; 1. Introduction; 2. Governing Equations; 3. Numerical Method; 4. Results; 5. Conclusions; Acknowledgments; References 330 $aThis volume showcases lecture notes collected from tutorials presented at the Workshop on Moving Interface Problems and Applications in Fluid Dynamics that was held between January 8 and March 31, 2007 at the Institute for Mathematical Sciences, National University of Singapore. As part of the program, these tutorials were conducted by specialists within their respective areas such as Robert Dillon, Zhilin Li, John Lowengrub, Frank Lu and Gretar Tryggvason. The topics in the program encompass modeling and simulations of biological flow coupled to deformable tissue/elastic structure, shock wave 410 0$aLecture notes series (National University of Singapore. Institute for Mathematical Sciences) ;$vv. 17. 606 $aInterfaces (Physical sciences)$xMathematics$vCongresses 606 $aFluid dynamics$xMathematics$vCongresses 615 0$aInterfaces (Physical sciences)$xMathematics 615 0$aFluid dynamics$xMathematics 676 $a532/.0510151 701 $aKhoo$b Boo Cheong$f1958-$01637032 701 $aLi$b Zhilin$f1956-$01637033 701 $aLin$b Ping$f1963-$01637034 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910825977503321 996 $aInterface problems and methods in biological and physical flows$93978606 997 $aUNINA