000076861 001__ 76861
000076861 005__ 20200716101455.0
000076861 0247_ $$2doi$$a10.1016/j.jcp.2018.11.023
000076861 0248_ $$2sideral$$a109626
000076861 037__ $$aART-2019-109626
000076861 041__ $$aeng
000076861 100__ $$0(orcid)0000-0002-3465-6898$$aNavas Montilla, Adrián$$uUniversidad de Zaragoza
000076861 245__ $$aImproved Riemann solvers for an accurate resolution of 1D and 2D shock profiles with application to hydraulic jumps
000076861 260__ $$c2019
000076861 5060_ $$aAccess copy available to the general public$$fUnrestricted
000076861 5203_ $$aFrom the early stages of CFD, the computation of shocks using Finite Volume methods has been a very challenging task as they often prompt the generation of numerical anomalies. Such anomalies lead to an incorrect and unstable representation of the discrete shock profile that may eventually ruin the whole solution. The two most widespread anomalies are the slowly-moving shock anomaly and the carbuncle, which are deeply addressed in the literature in the framework of homogeneous problems, such as Euler equations. In this work, the presence of the aforementioned anomalies is studied in the framework of the 1D and 2D SWE and novel solvers that effectively reduce both anomalies, even in cases where source terms dominate the solution, are presented. Such solvers are based on the augmented Roe (ARoe) family of Riemann solvers, which account for the source term as an extra wave in the eigenstructure of the system. The novel method proposed here is based on the ARoe solver in combination with: (a) an improved flux extrapolation method based on a previous work, which circumvents the slowly-moving shock anomaly and (b) a contact wave smearing technique that avoids the carbuncle. The resulting method is able to eliminate the slowly-moving shock anomaly for 1D steady cases with source term. When dealing with 2D cases, the novel method proves to handle complex shock structures composed of hydraulic jumps over irregular bathymetries, avoiding the presence of the aforementioned anomalies.
000076861 536__ $$9info:eu-repo/grantAgreement/ES/DGA/T32-17R$$9info:eu-repo/grantAgreement/ES/MINECO/CGL2015-66114-R
000076861 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000076861 590__ $$a2.985$$b2019
000076861 591__ $$aPHYSICS, MATHEMATICAL$$b4 / 55 = 0.073$$c2019$$dQ1$$eT1
000076861 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b43 / 109 = 0.394$$c2019$$dQ2$$eT2
000076861 592__ $$a1.936$$b2019
000076861 593__ $$aApplied Mathematics$$c2019$$dQ1
000076861 593__ $$aComputational Mathematics$$c2019$$dQ1
000076861 593__ $$aPhysics and Astronomy (miscellaneous)$$c2019$$dQ1
000076861 593__ $$aModeling and Simulation$$c2019$$dQ1
000076861 593__ $$aNumerical Analysis$$c2019$$dQ1
000076861 593__ $$aComputer Science Applications$$c2019$$dQ1
000076861 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000076861 700__ $$0(orcid)0000-0002-1386-5543$$aMurillo Castarlenas, Javier$$uUniversidad de Zaragoza
000076861 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000076861 773__ $$g378 (2019), 445-476$$pJ. comput. phys.$$tJournal of Computational Physics$$x0021-9991
000076861 8564_ $$s3058571$$uhttps://zaguan.unizar.es/record/76861/files/texto_completo.pdf$$yPreprint
000076861 8564_ $$s105711$$uhttps://zaguan.unizar.es/record/76861/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint
000076861 909CO $$ooai:zaguan.unizar.es:76861$$particulos$$pdriver
000076861 951__ $$a2020-07-16-09:09:33
000076861 980__ $$aARTICLE