000168704 001__ 168704
000168704 005__ 20260217214838.0
000168704 0247_ $$2doi$$a10.1016/j.jcp.2021.110246
000168704 0248_ $$2sideral$$a123955
000168704 037__ $$aART-2021-123955
000168704 041__ $$aeng
000168704 100__ $$0(orcid)0000-0003-0846-6262$$aSolán-Fustero, P.$$uUniversidad de Zaragoza
000168704 245__ $$aApplication of approximate dispersion-diffusion analyses to under-resolved Burgers turbulence using high resolution WENO and UWC schemes
000168704 260__ $$c2021
000168704 5060_ $$aAccess copy available to the general public$$fUnrestricted
000168704 5203_ $$aThis paper presents a space-time approximate diffusion-dispersion analysis of high-order, finite volume Upwind Central (UWC) and Weighted Essentially Non-Oscillatory (WENO) schemes. We perform a thorough study of the numerical errors to find a-priori guidelines for the computation of under-resolved turbulent flows. In particular, we study the 3-rd, 5-th and 7-th order UWC and WENO reconstructions in space, and 3-rd and 4-th order Runge-Kutta time integrators. To do so, we use the approximate von Neumann analysis for non-linear schemes introduced by Pirozzoli. Moreover, we apply the “1% rule” for the dispersion-diffusion curves proposed by Moura et al. [41] to determine the range of wavenumbers that are accurately resolved by each scheme. The dispersion-diffusion errors estimated from these analyses agree with the numerical results for the forced Burgers'' turbulence problem, which we use as a benchmark. The cut-off wavenumbers defined by the “1% rule” are evidenced to serve as a good estimator of the beginning of the dissipation region of the energy cascade and they are shown to be associated to a similar level of dissipation, with independence of the scheme. Finally, we show that WENO schemes are more diffusive than UWC schemes, leading to stable simulations at the price of more dissipative results. It is concluded both UWC and WENO schemes may be suitable schemes for iLES turbulence modeling, given their numerical dissipation level acting at the appropriate wavenumbers.
000168704 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/T32-20R$$9info:eu-repo/grantAgreement/ES/DGA/T32-20R
000168704 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
000168704 590__ $$a4.645$$b2021
000168704 591__ $$aPHYSICS, MATHEMATICAL$$b3 / 56 = 0.054$$c2021$$dQ1$$eT1
000168704 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b40 / 112 = 0.357$$c2021$$dQ2$$eT2
000168704 592__ $$a2.069$$b2021
000168704 593__ $$aApplied Mathematics$$c2021$$dQ1
000168704 593__ $$aComputational Mathematics$$c2021$$dQ1
000168704 593__ $$aPhysics and Astronomy (miscellaneous)$$c2021$$dQ1
000168704 593__ $$aNumerical Analysis$$c2021$$dQ1
000168704 593__ $$aModeling and Simulation$$c2021$$dQ1
000168704 594__ $$a7.1$$b2021
000168704 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000168704 700__ $$0(orcid)0000-0002-3465-6898$$aNavas-Montilla, A.$$uUniversidad de Zaragoza
000168704 700__ $$aFerrer, E.
000168704 700__ $$aManzanero, J.
000168704 700__ $$0(orcid)0000-0001-8674-1042$$aGarcía-Navarro, P.$$uUniversidad de Zaragoza
000168704 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000168704 773__ $$g435 (2021), 110246 [29 pp.]$$pJ. comput. phys.$$tJournal of Computational Physics$$x0021-9991
000168704 8564_ $$s6192731$$uhttps://zaguan.unizar.es/record/168704/files/texto_completo.pdf$$yPostprint
000168704 8564_ $$s1769477$$uhttps://zaguan.unizar.es/record/168704/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000168704 909CO $$ooai:zaguan.unizar.es:168704$$particulos$$pdriver
000168704 951__ $$a2026-02-17-20:13:47
000168704 980__ $$aARTICLE