Recent Advances on Two-Phase Flows, Fluid-Structure Interactions, Interface Problems, and Applications
Description
This book is a dedicated collection of invited papers associated with ICIAM 2023. It features twelve contributions covering a broad spectrum of topics in applied and computational mathematics, ranging from mathematical modeling and algorithm development to diverse real-world applications.
The contents include research on two-phase flows, fluid-structure interactions, and free boundary and interface problems. Each paper presents advances in mathematical modeling, analytical techniques, and computational methods, reflecting the depth and relevance of current research in these areas. This volume aims to serve as a valuable resource for researchers and practitioners working across disciplines where mathematics plays a central role in understanding and solving complex problems.
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Persons
Zhilin Li is a full professor at North Carolina State University.
Juan Ruiz Álvarez is a full professor at Polytechnic University of Cartagena.
Content
Convergence analysis of fourth order double augmented compact FVM based on Puiseux series technology for nonlinear strongly degenerate elliptic equations.- Computing Jump Conditions for the Immersed Interface method to Simulate Flows
around Rigid Objects Represented by Triangular Meshes.- An augmented FEM for nonlinear degenerate two-point boundary value problems.- An immersed finite element method for Stokes interface problem.- A review of numerical methods inspired by the immersed interface method (IIM) for solving non-PDE discontinuity problems.- Modeling three-dimensional turbulence using the spectrally hyperviscous NavierStokes equations.- A diffuse-domain-based method for simulation of a two-strain epidemic model in complex geometries.- Convergence of a cartesian method for interface elliptic problems.- A multigrid-based high order finite difference method for parabolic interface problems with variable coefficients.-A Parallel iterative Algorithm for primal-dual weak Galerkin Schemes.- Distinct Numerical Solutions for Elliptic Cross-nterface Problems Using Finite Element and Finite Difference Methods.- A Numerical Method for a Free Boundary Value Problem of Anisotropic Elliptic PDEs.