Close Search Advanced
Journals
Resources
About Us
Open Access

Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes
Preview
Add to basket

Year:    2021

Author:    Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel

Communications in Computational Physics, Vol. 29 (2021), Iss. 5 : pp. 1299–1335

Abstract

We propose a WENO finite difference scheme to approximate anelastic flows, and scalars advected by them, on staggered grids. In contrast to existing WENO schemes on staggered grids, the proposed scheme is designed to be arbitrarily high-order accurate as it judiciously combines ENO interpolations of velocities with WENO reconstructions of spatial derivatives. A set of numerical experiments are presented to demonstrate the increase in accuracy and robustness with the proposed scheme, when compared to existing WENO schemes and state-of-the-art central finite difference schemes.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2020-0046

Communications in Computational Physics, Vol. 29 (2021), Iss. 5 : pp. 1299–1335

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    37

Keywords:    Weighted essentially non-oscillatory schemes finite difference anelastic flow staggered mesh high-order methods.

Author Details

Siddhartha Mishra

Carlos Parés-Pulido

Kyle G. Pressel

  1. Accelerating Large‐Eddy Simulations of Clouds With Tensor Processing Units

    Chammas, Sheide | Wang, Qing | Schneider, Tapio | Ihme, Matthias | Chen, Yi‐fan | Anderson, John

    Journal of Advances in Modeling Earth Systems, Vol. 15 (2023), Iss. 10

    https://doi.org/10.1029/2023MS003619 [Citations: 2]

  2. Finite volume methods for the computation of statistical solutions of the incompressible Euler equations

    Parés-Pulido, Carlos

    IMA Journal of Numerical Analysis, Vol. 43 (2023), Iss. 5 P.3073

    https://doi.org/10.1093/imanum/drac065 [Citations: 0]

  3. High-Order WENO-based Semi-Implicit Projection Method for Incompressible Turbulent Flows: Development, Accuracy, and Reynolds Number Effects

    Nguyen, Thi Quynh | Ahn, Hyung Taek | Kavouklis, Christos

    International Journal of Computational Fluid Dynamics, Vol. 37 (2023), Iss. 4 P.251

    https://doi.org/10.1080/10618562.2023.2289445 [Citations: 0]