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Regular Article: An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries

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TLDR
A Cartesian grid method has been developed for simulating two-dimensional unsteady, viscous, incompressible flows with complex immersed boundaries and the ability of the solver to simulate flows with very complicated immersed boundaries is demonstrated.
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This article is published in Journal of Computational Physics.The article was published on 1999-12-10. It has received 811 citations till now. The article focuses on the topics: Solver & Discretization.

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Citations
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Immersed boundary methods

TL;DR: The term immersed boundary (IB) method is used to encompass all such methods that simulate viscous flows with immersed (or embedded) boundaries on grids that do not conform to the shape of these boundaries.
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Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries

TL;DR: An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented and second-order convergence in space and time is demonstrated on regular, statically and dynamically refined grids.
Journal ArticleDOI

An immersed-boundary finite-volume method for simulations of flow in complex geometries

TL;DR: In this paper, a new immersed-boundary method for simulating flows over or inside complex geometries is developed by introducing a mass source/sink as well as a momentum forcing.
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A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

TL;DR: A sharp interface immersed boundary method for simulating incompressible viscous flow past three-dimensional immersed bodies is described, with special emphasis on the immersed boundary treatment for stationary and moving boundaries.

A Ghost-Cell Immersed Boundary Method for Flow in Complex Geometry

TL;DR: An efficient ghost-cell immersed boundary method (GCIBM) for simulating turbulent flows in complex geometries is presented in this paper, where a boundary condition is enforced through a ghost cell method.
References
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Book

Matrix computations

Gene H. Golub
Book

Numerical heat transfer and fluid flow

TL;DR: In this article, the authors focus on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms.
Book

Computational methods for fluid dynamics

TL;DR: This text develops and applies the techniques used to solve problems in fluid mechanics on computers and describes in detail those most often used in practice, including advanced techniques in computational fluid dynamics.
Journal ArticleDOI

Numerical solution of the Navier-Stokes equations

TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
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