Development and analysis of high-order vorticity confinement schemes
Article dans une revue avec comité de lecture
Date
2017Journal
Computers & FluidsAbstract
High-order extensions of the Vorticity Confinement (VC) method are developed for the accurate com- putation of vortical flows, following the VC2 conservative formulation of Steinhoff. First, a high-order formulation of VC is presented for the case of the linear transport equation for decoupled schemes in space and time. A spectral analysis shows that the new nonlinear schemes have improved dispersive and dissipative properties compared to their linear counterparts at all orders of accuracy. For the Euler and Navier–Stokes equations, the original VC method is extended to 3 rd - and 5 th -order of accuracy, with the goal of developing a VC formulation that maintains the vorticity preserving capability of the original 1 st -order method and is suitable for application to high-order numerical simulations. The high-order ex- tensions remain both independent of the choice of baseline numerical scheme and rotationally invariant since they are based on the Laplace operator. Numerical tests validate the increased order of accuracy, vorticity-preserving capability and compatibility of the VC extensions with high-order methods.
Files in this item
Collections
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureCOSTES, M.; PETROPOULOS, I.; CINNELLA, P. (ELSEVIER, 2016)A new 3rd-order Vorticity Confinement scheme is presented as an extension of the original VC2 scheme developed by Steinhofffor the resolution of the fluid dynamic equations. The theoretical developments are explained, and ...
-
Article dans une revue avec comité de lecturePONT, Grégoire; PONT, Grégoire; BRENNER, Pierre; BRENNER, Pierre; CINNELLA, Paola; CINNELLA, Paola; MAUGARS, Bruno; MAUGARS, Bruno; ROBINET, Jean-Christophe; ROBINET, Jean-Christophe (Elsevier, 2017)A Godunov's type unstructured finite volume method suitable for highly compressible turbulent scale-resolving simulations around complex geometries is constructed by using a successive correction technique. First, a family ...
-
Communication avec acteBUFI, Elio Antonio; CINNELLA, Paola; MERLE, Xavier; CINNELLA, Paola (ASME, 2015)The design of an efficient organic rankine cycle (ORC) expander needs to take properly into account strong real gas effects that may occur in given ranges of operating conditions, which can also be highly variable. In this ...
-
Article dans une revue avec comité de lectureGLOERFELT, Xavier; ROBINET, Jean-Christophe; SCIACOVELLI, Luca; CINNELLA, Paola; GRASSO, Francesco (Cambridge University Press (CUP), 2020)A study of dense-gas effects on the stability of compressible boundary-layer flows is conducted. From the laminar similarity solution, the temperature variations are small due to the high specific heat of dense gases, ...
-
Estimation of Model Error Using Bayesian Model-Scenario Averaging with Maximum a Posterori-Estimates Ouvrage scientifiqueSCHMELZER, Martin; DWIGHT, Richard P.; EDELING, Wouter Nico; CINNELLA, Paola (Springer International Publishing, )