This volume is a collection of research papers presented at the program on Moving Interface Problems and Applications in Fluid Dynamics, which was held between January 8 and March 31, 2007 at the Institute for Mathematical Sciences (IMS) of the National University of Singapore. The topics discussed include modeling and simulations of biological flow coupled to deformable tissue/elastic structure, shock wave and bubble dynamics and various applications including biological treatments with experimental verification, multi-medium flow or multi-phase flow and various applications including cavitation/supercavitation, detonation problems, Newtonian and non-Newtonian fluid, and many other areas. Readers can benefit from some recent research results in these areas.
A single-cell-based model of multicellular growth using the immersed boundary method by R. Dillon, M. Owen, and K. Painter Numerical simulation of gas bubbles rising in viscous liquids at high Reynolds number by J. Hua, P. Lin, and J. F. Stene A high order finite difference scheme for the Stokes equations by K. Ito and Z. Qiao An efficient $\gamma$-model BGK scheme for multicomponent flows on unstructured meshes by S. Jiang and G. Ni An implicit-forcing immersed interface method for the incompressible Navier-Stokes equations by D. V. Le, B. C. Khoo, and Z. Li The nucleation and growth of gas bubbles in a Newtonian fluid: An energetic variational phase field approach by A. Naber, C. Liu, and J. J. Feng Critical fields of liquid crystals by X. Pan The transient motion of buoyant bubbles in a vertical Couette flow by J. Palacios and G. Tryggvason Issues of immersed boundary/continuum methods by X. S. Wang A finite element method for interface problems with locally modified triangulations by H. Xie, K. Ito, Z. Li, and J. Toivanen.
