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The term “immersed boundary method” was first used in reference to a method developed by Peskin (1972) to simulate cardiac mechanics and associated blood flow. The distinguishing feature of this method was that the entire simulation was carried out on a Cartesian grid, which did not conform to the geometry of the heart, and a novel procedure was formulated… (More)

- By Krishnan, Mahesh, +4 authors Parviz Moin
- 2001

This report discusses our progress towards developing a numerical algorithm, and solver capable of performing large-eddy simulation in geometries as complex as the combustor of a gas-turbine engine. LES is considered a particularly attractive approach for combustor simulation because of its demonstrated superiority over RANS in predicting mixing. A working… (More)

The application of the Immersed Boundary ~IB! method to simulate incompressible, turbulent flows around complex configurations is illustrated; the IB is based on the use of non-body conformal grids, and the effect of the presence of a body in the flow is accounted for by modifying the governing equations. Turbulence is modeled using standard… (More)

- Alireza Doostan, Gianluca Iaccarino
- J. Comput. Physics
- 2009

Uncertainty quantification schemes based on stochastic Galerkin projections, with global or local basis functions, and also stochastic collocation methods in their conventional form, suffer from the so called curse of dimensionality: the associated computational cost grows exponentially as a function of the number of random variables defining the underlying… (More)

- Ken Mattsson, Frank E. Ham, Gianluca Iaccarino
- J. Sci. Comput.
- 2009

A stable and accurate boundary treatment is derived for the second-order wave equation. The domain is discretized using narrow-diagonal summation by parts operators and the boundary conditions are imposed using a penalty method, leading to fully explicit time integration. This discretization yields a stable and efficient scheme. The analysis is verified by… (More)

- Marco D. de Tullio, Pietro De Palma, Gianluca Iaccarino, Giuseppe Pascazio, Michele Napolitano
- J. Comput. Physics
- 2007

This paper combines a state-of-the-art method for solving the three-dimensional preconditioned Navier–Stokes equations for compressible flows with an immersed boundary approach, to provide a Cartesian-grid method for computing complex flows over a wide range of the Mach number. Moreover, a flexible local grid refinement technique is employed to achieve high… (More)

- Ken Mattsson, Frank E. Ham, Gianluca Iaccarino
- J. Comput. Physics
- 2008

A time stable discretization is derived for the second-order wave equation with discontinuous coefficients. The discontinuity corresponds to inhomogeneity in the underlying medium and is treated by splitting the domain. Each (homogeneous) sub domain is discretized using narrow-diagonal summation by parts operators and, then, patched to its neighbors by… (More)

- By Sekhar Majumdar, Gianluca Iaccarino, P. Durbin
- 2002

The objective of the present work is to develop robust RANS solvers for accurate computation of flow and heat transfer in complex geometries, such as arise in engineering design. In CFD analysis, the most time-consuming process is often the generation of an acceptable grid — whether it is a boundary-conforming, curvilinear mesh, or even a completely… (More)

- Qiqi Wang, Parviz Moin, Gianluca Iaccarino
- SIAM J. Scientific Computing
- 2009

Adjoint equations of differential equations have seen widespread applications in optimization, inverse problems, and uncertainty quantification. A major challenge in solving adjoint equations for time dependent systems has been the need to use the solution of the original system in the adjoint calculation and the associated memory requirement. In… (More)

- Seongwon Kang, Gianluca Iaccarino, Frank E. Ham
- J. Comput. Physics
- 2009

A novel immersed boundary (IB) method has been developed for simulating multi-material heat transfer problem – a cylinder in a channel heated from below with mixed convection. The method is based on a second-order velocity/scalar reconstruction near the IB. A novel algorithm has been developed for the IB method to handle conjugate heat transfer. The… (More)