Michael Lijewski

Lawrence Berkeley National Laboratory

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John B. Bell

Lawrence Berkeley National Laboratory

Marc Day

National Renewable Energy Laboratory

John Shalf

Lawrence Berkeley National Laboratory

Leonid Oliker

Lawrence Berkeley National Laboratory

Shoaib Kamil

Adobe Systems (United States)

Joseph F. Grcar

Eden Medical Center

Ann Almgren

Lawrence Berkeley National Laboratory

George Shu Heng Pau

Lawrence Berkeley National Laboratory

Phillip Colella

Lawrence Berkeley National Laboratory

Jonathan Carter

Coventry University

Cooperative Institutions

Lawrence Berkeley National Laboratory

University of California, Berkeley

National Energy Research Scientific Computing Center

Lawrence Livermore National Laboratory

University of Tennessee at Knoxville

Massachusetts Institute of Technology

University of Utah

Max Planck Institute for Gravitational Physics

University of California, Davis

Sandia National Laboratories California

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A Parallel Second-Order Adaptive Mesh Algorithm for Incompressible Flow in Porous Media

George Shu Heng Pau Ann Almgren John B. Bell Michael Lijewski

In this paper we present a second-order accurate adaptive algorithm for solving multiphase, incompressible flows in porous media. We assume a multiphase form of Darcy's law with relative permeabilities given as a function of the phase saturation. The remaining equations express conservation of mass for the fluid constituents. In this setting the total velocity, defined to be the sum of the phase velocities, is divergence-free. The basic integration method is based on a total-velocity splitting approach in which we solve a second-order elliptic pressure equation to obtain a total velocity. This total velocity is then used to recast component conservation equations as nonlinear hyperbolic equations. Our approach to adaptive refinement uses a nested hierarchy of logically rectangular grids with simultaneous refinement of the grids in both space and time. The integration algorithm on the grid hierarchy is a recursive procedure in which coarse grids are advanced in time, fine grids areadvanced multiple steps to reach the same time as the coarse grids and the data atdifferent levels are then synchronized. The single grid algorithm is described briefly,but the emphasis here is on the time-stepping procedure for the adaptive hierarchy. Numerical examples are presented to demonstrate the algorithm's accuracy and convergencemore » properties and to illustrate the behavior of the method.« less

Adaptive Mesh Refinement

Conservation law

Divergence (linguistics)

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Numerical simulation of a premixed turbulent V-flame - eScholarship

John B. Bell Marc Day Joseph F. Grcar Michael Lijewski Matt R. Johnson

We present three-dimensional, time-dependent simulations of a full-size laboratory-scale rod-stabilized premixed turbulent V-flame. The computations use an adaptive projection method based on a low Mach number formulation that incorporates detailed chemical kinetics and transport. The simulations are performed without introducing models for turbulence or turbulence chemistry interaction. We outline the numerical procedure and experimental setup, and compare computed results to mean flame location and surface wrinkling statistics gathered from experiment.

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High-resolution simulation and characterization of density-driven flow in CO2 storage in saline aquifers

Advances in Water Resources (2010)

George Shu Heng Pau John B. Bell Karsten Pruess Ann Almgren Michael Lijewski

Multiphase flow

10.1016/j.advwatres.2010.01.009

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Citations (318)

A parallel second-order adaptive mesh algorithm for incompressible flow in porous media

Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences (2009)

George Shu Heng Pau Ann Almgren John B. Bell Michael Lijewski

In this paper, we present a second-order accurate adaptive algorithm for solving multi-phase, incompressible flow in porous media. We assume a multi-phase form of Darcy's law with relative permeabilities given as a function of the phase saturation. The remaining equations express conservation of mass for the fluid constituents. In this setting, the total velocity, defined to be the sum of the phase velocities, is divergence free. The basic integration method is based on a total-velocity splitting approach in which we solve a second-order elliptic pressure equation to obtain a total velocity. This total velocity is then used to recast component conservation equations as nonlinear hyperbolic equations. Our approach to adaptive refinement uses a nested hierarchy of logically rectangular grids with simultaneous refinement of the grids in both space and time. The integration algorithm on the grid hierarchy is a recursive procedure in which coarse grids are advanced in time, fine grids are advanced multiple steps to reach the same time as the coarse grids and the data at different levels are then synchronized. The single-grid algorithm is described briefly, but the emphasis here is on the time-stepping procedure for the adaptive hierarchy. Numerical examples are presented to demonstrate the algorithm's accuracy and convergence properties and to illustrate the behaviour of the method.

Divergence (linguistics)

Conservation law

Adaptive Mesh Refinement

10.1098/rsta.2009.0160

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Citations (33)

Numerical simulation of a premixed turbulent V-flame

John B. Bell Marc Day Joseph F. Grcar Michael Lijewski Matt R. Johnson

Source

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Citations (4)

Turbulence effects on cellular burning structures in lean premixed hydrogen flames

Combustion and Flame (2008)

Marc Day John B. Bell Peer‐Timo Bremer Valerio Pascucci Vince Beckner

Flame structure

Laminar flame speed

Flame speed

Flame front

10.1016/j.combustflame.2008.10.029

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Citations (130)

Numerical simulation of a laboratory-scale turbulent slot flame

Proceedings of the Combustion Institute (2006)

John B. Bell Marc Day Joseph F. Grcar Michael Lijewski James F. Driscoll

Flame structure

Laminar flame speed

Turbulent diffusion

Flame speed

10.1016/j.proci.2006.07.186

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Citations (133)

A combined computational and experimental characterization of lean premixed turbulent low swirl laboratory flames

Combustion and Flame (2011)

Marc Day Shigeru Tachibana John B. Bell Michael Lijewski Vince Beckner

Flame structure

Laminar flame speed

Flame speed

10.1016/j.combustflame.2011.06.016

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Citations (92)

Displacement speeds in turbulent premixed flame simulations

Lawrence Berkeley National Laboratory (2008)

Marc Day I.G. Shepherd John B. Bell Joseph F. Grcar Michael Lijewski

The theory of turbulent premixed flames is based on a characterization of the flame as a discontinuous surface propagating through the fluid. The displacement speed, defined as the local speed of the flame front normal to itself, relative to the unburned fluid, provides one characterization of the burning velocity. In this paper, we introduce a geometric approach to computing displacement speed and discuss the efficacy of the displacement speed for characterizing a turbulent flame.

Flame speed

Flame front

Characterization

Laminar flame speed

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Citations (2)

Active control for statistically stationary turbulent premixed flame simulations

Communications in Applied Mathematics and Computational Science (2006)

John B. Bell Marc Day Joseph F. Grcar Michael Lijewski

The speed of propagation of a premixed turbulent flame correlates with the intensity of the turbulence encountered by the flame.One consequence of this property is that premixed flames in both laboratory experiments and practical combustors require some type of stabilization mechanism to prevent blow-off and flashback.The stabilization devices often introduce a level of geometric complexity that is prohibitive for detailed computational studies of turbulent flame dynamics.Furthermore, the stabilization introduces additional fluid mechanical complexity into the overall combustion process that can complicate the analysis of fundamental flame properties.To circumvent these difficulties we introduce a simple, heuristic feedback control algorithm that allows us to computationally stabilize a turbulent premixed flame in a simple geometric configuration.For the simulations, we specify turbulent inflow conditions and dynamically adjust the integrated fueling rate to control the mean location of the flame in the domain.We outline the numerical procedure, and illustrate the behavior of the control algorithm on methane flames at various equivalence ratios in two dimensions.The simulation data are used to study the local variation in the speed of propagation due to flame surface curvature.

10.2140/camcos.2006.1.29

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Citations (51)