✦ LIBER ✦

An adaptive central-upwind weighted essentially non-oscillatory scheme

✍ Scribed by X.Y. Hu; Q. Wang; N.A. Adams

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 958 KB
Volume: 229
Category: Article
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2010.08.019

No coin nor oath required. For personal study only.

✦ Synopsis

In this work, an adaptive central-upwind 6th-order weighted essentially non-oscillatory (WENO) scheme is developed. The scheme adapts between central and upwind schemes smoothly by a new weighting relation based on blending the smoothness indicators of the optimal higher order stencil and the lower order upwind stencils. The scheme achieves 6th-order accuracy in smooth regions of the solution by introducing a new reference smoothness indicator. A number of numerical examples suggest that the present scheme, while preserving the good shock-capturing properties of the classical WENO schemes, achieves very small numerical dissipation.

📜 SIMILAR VOLUMES

Weighted Essentially Non-oscillatory Sch

Weighted Essentially Non-oscillatory Schemes

✍ Xu-Dong Liu; Stanley Osher; Tony Chan 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 373 KB

In this paper we introduce a new version of ENO (essentially nonoscillatory) shock-capturing schemes which we call weighted ENO. The main new idea is that, instead of choosing the "smoothest" stencil to pick one interpolating polynomial for the ENO reconstruction, we use a convex combination of all

Weighted Essentially Non-oscillatory Sch

Weighted Essentially Non-oscillatory Schemes on Triangular Meshes

✍ Changqing Hu; Chi-Wang Shu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 695 KB

In this paper we construct high-order weighted essentially non-oscillatory schemes on two-dimensional unstructured meshes (triangles) in the finite volume formulation. We present third-order schemes using a combination of linear polynomials and fourthorder schemes using a combination of quadratic po

A new well-balanced Hermite weighted ess

A new well-balanced Hermite weighted essentially non-oscillatory scheme for shallow water equations

✍ Valerio Caleffi 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 389 KB

Implicit weighted essentially non-oscill

Implicit weighted essentially non-oscillatory schemes for the incompressible Navier–Stokes equations

✍ Yih-Nan Chen; Shih-Chang Yang; Jaw-Yen Yang 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 404 KB 👁 2 views

A class of lower-upper/approximate factorization (LUAF) implicit weighted essentially non-oscillatory (ENO; WENO) schemes for solving the two-dimensional incompressible Navier -Stokes equations in a generalized co-ordinate system is presented. The algorithm is based on the artificial compressibility

Monotonicity Preserving Weighted Essenti

Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy

✍ Dinshaw S. Balsara; Chi-Wang Shu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 627 KB

Weighted Essentially Non-Oscillatory Sch

Weighted Essentially Non-Oscillatory Schemes for the Interpolation of Mean Values on Unstructured Grids

✍ Oliver Friedrich 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 390 KB

In this paper the weighted ENO (essentially non-oscillatory) scheme developed for the one-dimensional case by Liu, Osher, and Chan is applied to the case of unstructured triangular grids in two space dimensions. Ideas from Jiang and Shu, especially their new way of smoothness measuring, are consider