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What is flux balance analysis?

by Jeffrey D Orth , Ines Thiele , Bernhard Ø Palsson , Jeffrey D Orth , Bernhard Ø Palsson - Nat Biotech, , 2010
"... matrix of stoichiometries-that consumes precursor metabolites at stoichiometries that simulate biomass production. The biomass reaction is based on experimental measurements of biomass components. This reaction is scaled so that the flux through it is equal to the exponential growth rate (µ) of the ..."
Abstract - Cited by 93 (8 self) - Add to MetaCart
of this representation is a tabulation, in the form of a numerical matrix, of the stoichiometric coefficients of each reaction Constraints are represented in two ways, as equations that balance reaction inputs and outputs and as inequalities that impose bounds on the system. The matrix of stoichiometries imposes flux

ANALYTICAL AND NUMERICAL STUDY OF DIFFUSIVE FLUXES FOR TRANSPORT EQUATIONS WITH NEAR-DEGENERATE COEFFICIENTS

by J. Proft, B. Rivi Ère
"... Abstract. This work formulates and analyzes a new family of discontinuous Galerkin methods for the convection-diffusion equation with highly varying diffusion coefficients, that do not require the use of slope limiting techniques. The proposed methods are based on the standard NIPG/SIPG techniques, ..."
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, but use special diffusive numerical fluxes at some important interfaces. The resulting numerical solutions do not show any overshoot or oscillation phenomena. Error analysis and numerical examples are provided. Key words. numerical fluxes, discontinuous Galerkin methods, high and low diffusivity 1

The Gent–McWilliams skew flux

by Stephen M. Griffies - J. Phys. Oceanogr , 1998
"... This paper formulates tracer stirring arising from the Gent–McWilliams (GM) eddy-induced transport in terms of a skew-diffusive flux. A skew-diffusive tracer flux is directed normal to the tracer gradient, which is in contrast to a diffusive tracer flux directed down the tracer gradient. Analysis of ..."
Abstract - Cited by 76 (6 self) - Add to MetaCart
for a computationally efficient and simple manner in which to implement the GM closure in z-coordinate models. With this approach, no more computation is necessary than when using isoneutral diffusion alone. Additionally, the numerical realization of the skew flux is significantly smoother than

Numerical Schemes for the Hamilton-Jacobi and Level Set Equations on Triangulated Domains

by Timothy J. Barth, James A. Sethian , 1997
"... Borrowing from techniques developed for conservation law equations, numerical schemes which discretize the Hamilton-Jacobi (H-J), level set, and Eikonal equations on triangulated domains are presented. The first scheme is a provably monotone discretization for certain forms of the H-J equations. Unf ..."
Abstract - Cited by 77 (8 self) - Add to MetaCart
. Unfortunately, the basic scheme lacks proper Lipschitz continuity of the numerical Hamiltonian. By employing a "virtual" edge ipping technique, Lipschitz continuity of the numerical flux is restored on acute triangulations. Next, schemes are introduced and developed based on the weaker concept

2005: Uncertainty in predictions of the climate response to rising levels of greenhouse gases

by D A Stainforth , T Aina , C Christensen , M Collins , N Faull , D J Frame , J A Kettleborough , S Knight , A Martin , J M Murphy , C Piani , D Sexton , L A Smith , R A Spicer , A J Thorpe , M R Allen - Nature
"... The range of possibilities for future climate evolution 1-3 needs to be taken into account when planning climate change mitigation and adaptation strategies. This requires ensembles of multidecadal simulations to assess both chaotic climate variability and model response uncertainty As a first ste ..."
Abstract - Cited by 175 (9 self) - Add to MetaCart
concentrations. The general circulation model (GCM) is a version of the Met Office Unified Model consisting of the atmospheric model HadAM3 23 , at standard resolution 9 but with increased numerical stability, coupled to a mixed-layer ocean. This allows us to explore the effects of a wide range of uncertainties

Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propogation Algorithm

by Randall J. Leveque - J. Comput. Phys , 1998
"... . Conservation laws with source terms often have steady states in which the flux gradients are nonzero but exactly balanced by source terms. Many numerical methods (e.g., fractional step methods) have difficulty preserving such steady states and cannot accurately calculate small perturbations of suc ..."
Abstract - Cited by 118 (5 self) - Add to MetaCart
. Conservation laws with source terms often have steady states in which the flux gradients are nonzero but exactly balanced by source terms. Many numerical methods (e.g., fractional step methods) have difficulty preserving such steady states and cannot accurately calculate small perturbations

unknown title

by unknown authors , 2005
"... A numerical study for the performance of the Runge–Kutta discontinuous Galerkin method based on different numerical fluxes mann solvers serving as numerical fluxes, TVDRunge–Kutta time discretizations, and limiters. Inmost of theRKDGpapers ..."
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A numerical study for the performance of the Runge–Kutta discontinuous Galerkin method based on different numerical fluxes mann solvers serving as numerical fluxes, TVDRunge–Kutta time discretizations, and limiters. Inmost of theRKDGpapers

Artificial Boundaries and Flux and Pressure Conditions for the Incompressible Navier-Stokes Equations

by John G. Heywood, Rolf Rannacher, Stefan Turek , 1992
"... Fluid dynamical problems are often conceptualized in unbounded domains. But most methods of numerical simulation then require a truncation of the conceptual domain to a bounded one, thereby introducing artificial boundaries. Here, we analyze our experience in choosing artificial boundary conditions ..."
Abstract - Cited by 96 (8 self) - Add to MetaCart
Fluid dynamical problems are often conceptualized in unbounded domains. But most methods of numerical simulation then require a truncation of the conceptual domain to a bounded one, thereby introducing artificial boundaries. Here, we analyze our experience in choosing artificial boundary conditions

Analysis and Design of Numerical Schemes for Gas Dynamics 1 Artificial Diffusion, Upwind Biasing, Limiters and Their Effect on Accuracy and Multigrid Convergence

by Antony Jameson - INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS , 1995
"... The theory of non-oscillatory scalar schemes is developed in this paper in terms of the local extremum diminishing (LED) principle that maxima should not increase and minima should not decrease. This principle can be used for multi-dimensional problems on both structured and unstructured meshes, whi ..."
Abstract - Cited by 122 (45 self) - Add to MetaCart
no extrema, and which can also be implemented on multi-dimensional unstructured meshes. Systems of equations lead to waves traveling with distinct speeds and possibly in opposite directions. Alternative treatments using characteristic splitting and scalar diffusive fluxes are examined, together with a

Conservative numerical schemes for the Vlasov equation

by Francis Filbet, Pierre Bertr - J. Comput. Phys , 2001
"... A new scheme for solving the Vlasov equation using a phase space grid is pro-posed. The algorithm is based on the conservation of the flux of particles, and the distribution function is reconstructed using various techniques that allow control of spurious oscillations or preservation of the positivi ..."
Abstract - Cited by 84 (17 self) - Add to MetaCart
A new scheme for solving the Vlasov equation using a phase space grid is pro-posed. The algorithm is based on the conservation of the flux of particles, and the distribution function is reconstructed using various techniques that allow control of spurious oscillations or preservation
Results 11 - 20 of 5,432