Free-stream preserving linear-upwind and WENO schemes on curvilinear grids
نویسندگان
چکیده
منابع مشابه
Free-stream preserving finite difference schemes on curvilinear meshes
An important property for finite difference schemes designed on curvilinear meshes is the exact preservation of free-stream solutions. This property is difficult to fulfill for high order conservative essentially non-oscillatory (WENO) finite difference schemes. In this paper we explore an alternative flux formulation for such finite difference schemes [5] which can preserve free-stream solutio...
متن کاملHybrid WENO schemes with different indicators on curvilinear grids
In {J. Comput. Phys. 229 (2010) 8105-8129}, we studied hybrid weighted essentially non-oscillatory (WENO) schemes with different indicators for hyperbolic conservation laws on uniform grids for Cartesian domains. In this paper, we extend the schemes to solve two-dimensional systems of hyperbolic conservation laws on curvilinear grids for non-Cartesian domains. Our goal is to obtain similar adva...
متن کاملTwo-dimensional central-upwind schemes for curvilinear grids and application to gas dynamics with angular momentum
Article history: Received 30 April 2008 Received in revised form 17 February 2009 Accepted 27 July 2009 Available online 30 July 2009 MSC: 65M70 76M12 76U05
متن کاملCurvilinear grids for WENO methods in astrophysical simulations
We investigate the applicability of curvilinear grids in the context of astrophysical simulations and WENO schemes. With the non–smooth mapping functions from Calhoun et al. [1], we can tackle many astrophysical problems which were out of scope with the standard grids in numerical astrophysics. We describe the difficulties occurring when implementing curvilinear coordinates into our WENO code, ...
متن کاملStream Surface Generation for Fluid Flow Solutions on Curvilinear Grids
A stream surface in a steady-state three-dimensional fluid flow vector field is a surface across which there is no flow. Stream surfaces can be useful for visualization because the amount of data presented in one visualization can be confined to a manageable quantity in a physically meaningful way. This paper describes a method for generation of stream surfaces, given a threedimensional vector ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2019
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2019.108907