A Numerical Study of a Modular Sparse Grad-Div Stabilization Method for Boussinesq Equations

Download

Demir_2019_J._Phys.__Conf._Ser._1391_012097.pdf

Date

2019-10-10

Author

Demir, Medine
Kaya Merdan, Songül

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

335
views

124
downloads

This study presents a modular sparse grad-div stabilization method for solving the Boussinesq equations. Unlike the usual grad-div stabilization which produces fully coupled block matrices, the proposed stabilization method produces block upper triangular matrices. Thus, the proposed method is more attractive in terms of both its computational cost and solution accuracy. We provide unconditional stability results for velocity and temperature. Two numerical experiments are performed to demonstrate the efficiency and accuracy of the method.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/37169

DOI

https://doi.org/10.1088/1742-6596/1391/1/012097

Collections

Department of Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

Search for Narrow Resonances in the b-Tagged Dijet Mass Spectrum in Proton-Proton Collisions at root s=8 TeV Sirunyan, A. M.; et. al. (American Physical Society (APS), 2018-05-01) A search for narrow resonances decaying to bottom quark-antiquark pairs is presented, using a data sample of proton-proton collisions at root s = 8 TeV corresponding to an integrated luminosity of 19.7 fb(-1). The search is extended to masses lower than those reached in typical searches for resonances decaying into jet pairs at the LHC, by taking advantage of triggers that identify jets originating from bottom quarks. No significant excess of events is observed above the background predictions. Limits are s...
A search for new physics in dijet mass and angular distributions in pp collisions at root s=7 TeV measured with the ATLAS detector Aad, G.; et. al. (IOP Publishing, 2011-05-24) A search for new interactions and resonances produced in LHC proton-proton (pp) collisions at a centre-of-mass energy root s = 7 TeV was performed with the ATLAS detector. Using a dataset with an integrated luminosity of 36 pb(-1), dijet mass and angular distributions were measured up to dijet masses of similar to 3.5 TeV and were found to be in good agreement with Standard Model predictions. This analysis sets limits at 95% CL on various models for new physics: an excited quark is excluded for mass between...
Approximate analytical solutions of the pseudospin symmetric Dirac equation for exponential-type potentials Arda, Altu; Sever, Ramazan; TEZCAN, CEVDET (Wiley, 2009-10-01) The solvability of The Dirac equation is studied for the exponential-type potentials with the pseudospin symmetry by using the parametric generalization of the Nikiforov-Uvarov method. The energy eigenvalue equation, and the corresponding Dirac spinors for Morse, Hulthen, and q-deformed Rosen-Morse potentials are obtained within the framework of an approximation to the spin-orbit coupling term, so the solutions are given for any value of the spin-orbit quantum number kappa = 0, or kappa not equal 0. (C) 200...
Studies of Charm Quark Diffusion inside Jets Using Pb-Pb and pp Collisions at root s(NN)=5.02 TeV Sirunyan, A. M.; et. al. (American Physical Society (APS), 2020-09-01) The first study of charm quark diffusion with respect to the jet axis in heavy ion collisions is presented. The measurement is performed using jets with p(T)(jet) > 60 GeV/c and D-0 mesons with p(T)(D) > 4 GeV/c in lead-lead (Pb-Pb) and proton-proton (pp) collisions at a nucleon-nucleon center-of-mass energy of root s(NN) = 5.02 TeV, recorded by the CMS detector at the LHC. The radial distribution of D-0 mesons with respect to the jet axis is sensitive to the production mechanisms of the meson, as well as t...
Calculation of the specific heats for the II-III and II-IV phase transitions in NH4I Yurtseven, Hasan Hamit (IOP Publishing, 2003-01-01) wThis study gives our calculation for the specific heats C-VI due to an Ising model using the observed C-P data for the II-III and II-IV phase transitions in NH4I. By fitting to the Cp data we determine the values of the critical exponent for the pressure of 0.14 GPa (II-III phase transition) and for the pressures of 0.75, 1.35 and 1.97GPa (II-IV phase transition) in NH4I. Our exponent values are close to the predicted values of the specific heat in a three-dimensional Ising model. Our calculated C-VI are i...

Citation Formats

M. Demir and S. Kaya Merdan, “A Numerical Study of a Modular Sparse Grad-Div Stabilization Method for Boussinesq Equations,” 2019, vol. 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37169.