000120055 001__ 120055
000120055 005__ 20230914083552.0
000120055 0247_ $$2doi$$a10.3390/a15080278
000120055 0248_ $$2sideral$$a130824
000120055 037__ $$aART-2022-130824
000120055 041__ $$aeng
000120055 100__ $$0(orcid)0000-0001-7802-3411$$aHauke, G.$$uUniversidad de Zaragoza
000120055 245__ $$aSimulation of low-speed buoyant flows with a stabilized compressible/incompressible formulation: the Full Navier–Stokes approach versus the Boussinesq model
000120055 260__ $$c2022
000120055 5060_ $$aAccess copy available to the general public$$fUnrestricted
000120055 5203_ $$aThis paper compares two strategies to compute buoyancy-driven flows using stabilized methods. Both formulations are based on a unified approach for solving compressible and incompressible flows, which solves the continuity, momentum, and total energy equations in a coupled entropy-consistent way. The first approach introduces the variable density thermodynamics of the liquid or gas without any artificial buoyancy terms, i.e., without applying any approximate models into the Navier–Stokes equations. Furthermore, this formulation holds for flows driven by high temperature differences. Further advantages of this formulation are seen in the fact that it conserves the total energy and it lacks the incompressibility inconsistencies due to volume changes induced by temperature variations. The second strategy uses the Boussinesq approximation to account for temperature-driven forces. This method models the thermal terms in the momentum equation through a temperature-dependent nonlinear source term. Computer examples show that the thermodynamic approach, which does not introduce any artificial terms into the Navier–Stokes equations, is conceptually simpler and, with the incompressible stabilization matrix, attains similar residual convergence with iteration count to methods based on the Boussinesq approximation. For the Boussinesq model, the SUPG and SGS methods are compared, displaying very similar computational behavior. Finally, the VMS a posteriori error estimator is applied to adapt the mesh, helping to achieve better accuracy for the same number of degrees of freedom.
000120055 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/T32-20R$$9info:eu-repo/grantAgreement/ES/MINECO-AEI-FEDER/PID2019-106099RB-C44
000120055 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000120055 592__ $$a0.497$$b2022
000120055 593__ $$aComputational Mathematics$$c2022$$dQ2
000120055 593__ $$aComputational Theory and Mathematics$$c2022$$dQ2
000120055 593__ $$aNumerical Analysis$$c2022$$dQ2
000120055 593__ $$aTheoretical Computer Science$$c2022$$dQ3
000120055 594__ $$a3.7$$b2022
000120055 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000120055 700__ $$aLanzarote, J.
000120055 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000120055 773__ $$g15, 8 (2022), 278[24 pp.]$$tAlgorithms$$x1999-4893
000120055 8564_ $$s12244560$$uhttps://zaguan.unizar.es/record/120055/files/texto_completo.pdf$$yVersión publicada
000120055 8564_ $$s2593114$$uhttps://zaguan.unizar.es/record/120055/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000120055 909CO $$ooai:zaguan.unizar.es:120055$$particulos$$pdriver
000120055 951__ $$a2023-09-13-13:31:05
000120055 980__ $$aARTICLE