Explicit Runge-Kutta method for three-dimensional internal incompressible flows

Cabuk, H.; Sung, Chao-Ho; Modi, Vijay

doi:10.2514/3.11175

Cited by 40 publications

(12 citation statements)

References 14 publications

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“…The non‐dimensional density ratios in all of the simulations have been assumed to be 1:0.0001 which is consistent with experimental observations of cavitation in water at a constant 300 K . A CFL number of 1.5 and a value of the artificial compressibility parameter β = 1.0 have been utilized for all the numerical experiments as experience has shown this produces the best convergence characteristics for incompressible flows 40, 55. This study initially focussed on the Spalart–Allmaras turbulence model and this has been used for the majority of results/discussion presented below.…”

Section: Resultsmentioning

confidence: 99%

Synthesis, Conformation and Biological Evaluation of the Enantiomers of 3‐Fluoro‐γ‐Aminobutyric Acid ((R)‐ and (S)‐3F‐GABA): An Analogue of the Neurotransmitter GABA

Deniau¹,

Slawin²,

Lébl³

et al. 2007

ChemBioChem

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Gamma-aminobutyric acid or GABA (1) is one of the major inhibitory amino acid neurotransmitters of the central nervous system. This article describes the first synthesis of both the (R)- and (S)- enantiomers of 3-fluoro-GABA (2, 3F-GABA). DFT calculations were carried out in a continuum solvent model (PCM-B3LYP) to estimate the preferred conformations of 3F-GABA in aqueous solution. NMR coupling constants were calculated for each conformer and were then used to simulate the NMR spectra to evaluate the solution conformation of 3F-GABA. A preliminary evaluation of the 3F-GABA enantiomers shows that they act similarly as agonists of cloned GABA(A) receptors; however, they behave quite differently in a whole animal (Xenopus laevis tadpole model).

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Section: Resultsmentioning

confidence: 99%

Synthesis, Conformation and Biological Evaluation of the Enantiomers of 3‐Fluoro‐γ‐Aminobutyric Acid ((R)‐ and (S)‐3F‐GABA): An Analogue of the Neurotransmitter GABA

Deniau¹,

Slawin²,

Lébl³

et al. 2007

ChemBioChem

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“…In Equation (23), ÿ is calculated from Equation (17). The calculated t is multiplied by a safety factor varying between 0.5 and 2.0 depending on the problem and mesh used.…”

Section: The Artificial Compressibility (Ac) Formulationmentioning

confidence: 99%

An efficient artificial compressibility (AC) scheme based on the characteristic based split (CBS) method for incompressible flows

Nithiarasu

2003

Numerical Meth Engineering

162

198

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SUMMARYIn this paper, an artiÿcial compressibility scheme using the ÿnite element method is introduced. The multi-purpose CBS scheme is implemented in its fully explicit form to solve incompressible uid dynamics problems. It is important to note that the scheme developed here includes split and velocity correction. The proposed method takes advantage of good features from both velocity correction and standard artiÿcial compressibility schemes. Unlike many other artiÿcial compressibility schemes, the proposed one works on a variety of grids and gives results for a wide range of Reynold's numbers. The paper presents some bench mark two-and three-dimensional steady and unsteady incompressible ow solutions obtained from the proposed scheme.

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“…The non-dimensional density ratios in all of the simulations have been assumed to be 1:0.0001 which is consistent with experimental observations of cavitation in water at a constant 300K . A CFL number of 1.5 and a value of the artificial compressibility parameter = 1.0 have been utilized for all the numerical experiments as experience has shown this produces the best convergence characteristics for incompressible flows [40,55]. This study initially focussed on the SpalartAllmaras turbulence model and this has been used for the majority of results/discussion presented below.…”

Section: Introduction To Cavitation Resultsmentioning

confidence: 99%

A dual‐time central‐difference interface‐capturing finite volume scheme applied to cavitation modelling

Gough

Gaitonde

Jones

2011

Numerical Methods in Fluids

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SUMMARYThis paper describes a central-difference interface-capturing scheme applied to the prediction of flows with cavitation. Compressible cavitation schemes based on standard central-difference solvers have been previously described, but the current scheme uses an incompressible formulation only previously implemented with an upwind solver. The central-difference solver offers significant advantages in computational time compared with upwind schemes. Regions of cavitation are captured rather than tracked. This means that there is no need for complex tracking and reconstruction procedures for the interface of the cavitation region. The use of such schemes on an arbitrarily unstructured mesh is no more complicated than on its structured counterpart. Results for a number of test cases are presented, with comparisons made with both experimental data and other numerical solutions.

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Explicit Runge-Kutta method for three-dimensional internal incompressible flows

Cited by 40 publications

References 14 publications

Synthesis, Conformation and Biological Evaluation of the Enantiomers of 3‐Fluoro‐γ‐Aminobutyric Acid ((R)‐ and (S)‐3F‐GABA): An Analogue of the Neurotransmitter GABA

Synthesis, Conformation and Biological Evaluation of the Enantiomers of 3‐Fluoro‐γ‐Aminobutyric Acid ((R)‐ and (S)‐3F‐GABA): An Analogue of the Neurotransmitter GABA

An efficient artificial compressibility (AC) scheme based on the characteristic based split (CBS) method for incompressible flows

A dual‐time central‐difference interface‐capturing finite volume scheme applied to cavitation modelling

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