In computational fluid dynamics, the immersed boundary method originally referred to an approach developed by Peskin in 1972 to simulate fluid… (More)

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Highly Cited

2008

Highly Cited

2008

- Rajat Mittal, Haibo Dong, Meliha Bozkurttas, Fady Najjar, Abel Vargas, Alfred von Loebbecke
- J. Comput. Physics
- 2008

A sharp interface immersed boundary method for simulating incompressible viscous flow past three-dimensional immersed bodies is… (More)

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Highly Cited

2008

Highly Cited

2008

- Iman Borazjani, Liang Ge, Fotis Sotiropoulos
- J. Comput. Physics
- 2008

The sharp-interface CURVIB approach of Ge and Sotiropoulos [L. Ge, F. Sotiropoulos, A Numerical Method for Solving the 3D… (More)

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Highly Cited

2007

Highly Cited

2007

- Kunihiko Taira, Tim Colonius
- J. Comput. Physics
- 2007

A new formulation of the immersed boundary method with a structure algebraically identical to the traditional fractional step… (More)

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Highly Cited

2007

Highly Cited

2007

- Boyce E. Griffith, Richard D. Hornung, David McQueen, Charles S. Peskin
- J. Comput. Physics
- 2007

Like many problems in biofluid mechanics, cardiac mechanics can be modeled as the dynamic interaction of a viscous incompressible… (More)

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2007

2007

A numerical method to approximate partial differential equations on meshes that do not conform to the domain boundaries is… (More)

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Highly Cited

2005

Highly Cited

2005

The immersed boundary method is both a mathematical formulation and a numerical scheme for problems involving the interaction of… (More)

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Review

2004

Review

2004

The term “immersed boundary method” was first used in reference to a method developed by Peskin (1972) to simulate cardiac… (More)

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Highly Cited

2003

Highly Cited

2003

- approachDaniele Bo
- 2003

In this paper we consider a modiication of the immersed boundary method based on a nite element approximation of the uid. Besides… (More)

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Highly Cited

2001

Highly Cited

2001

- Zhilin Li, Ming-Chih Lai
- 2001

Peskin’s Immersed Boundary Method has been widely used for simulating many fluid mechanics and biology problems. One of the… (More)

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Highly Cited

1994

Highly Cited

1994

- Randall J. LeVeque, LI ZHILIN
- 1994

The authors develop finite difference methods for elliptic equations of the form V. ((x)Vu(x)) + (x)u(x) f(x) in a region in one… (More)

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