✦ LIBER ✦

A Family of High Order Finite Difference Schemes with Good Spectral Resolution

✍ Scribed by Krishnan Mahesh

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 296 KB
Volume: 145
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1998.6022

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents a family of finite difference schemes for the first and second derivatives of smooth functions. The schemes are Hermitian and symmetric and may be considered a more general version of the standard compact (Padé) schemes discussed by Lele. They are different from the standard Padé schemes, in that the first and second derivatives are evaluated simultaneously. For the same stencil width, the proposed schemes are two orders higher in accuracy, and have significantly better spectral representation. Eigenvalue analysis, and numerical solutions of the onedimensional advection equation are used to demonstrate the numerical stability of the schemes. The computational cost of computing both derivatives is assessed and shown to be essentially the same as the standard Padé schemes. The proposed schemes appear to be attractive alternatives to the standard Padé schemes for computations of the Navier-Stokes equations.

📜 SIMILAR VOLUMES

High Order Finite Difference Schemes on

High Order Finite Difference Schemes on Non-uniform Meshes with Good Conservation Properties

✍ Oleg V. Vasilyev 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 97 KB

Numerical simulation of turbulent flows (DNS or LES) requires numerical methods that are both stable and free of numerical dissipation. One way to achieve this is to enforce additional constraints, such as discrete conservation of mass, momentum, and kinetic energy. The objective of this work is to

A new high-order finite volume element m

A new high-order finite volume element method with spectral-like resolution

✍ F. Sarghini; G. Coppola; G. de Felice 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 240 KB 👁 1 views

A Wavenumber Based Extrapolation and Int

A Wavenumber Based Extrapolation and Interpolation Method for Use in Conjunction with High-Order Finite Difference Schemes

✍ Christopher K.W. Tam; Konstantin A. Kurbatskii 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 287 KB

A Reflectionless Sponge Layer Absorbing

A Reflectionless Sponge Layer Absorbing Boundary Condition for the Solution of Maxwell's Equations with High-Order Staggered Finite Difference Schemes

✍ Peter G. Petropoulos; Li Zhao; Andreas C. Cangellaris 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 372 KB

We develop, implement, and demonstrate a reflectionless sponge layer for truncating computational domains in which the time-dependent Maxwell equations are discretized with high-order staggered nondissipative finite difference schemes. The well-posedness of the Cauchy problem for the sponge layer eq

Designing an Efficient Solution Strategy

Designing an Efficient Solution Strategy for Fluid Flows: II. Stable High-Order Central Finite Difference Schemes on Composite Adaptive Grids with Sharp Shock Resolution

✍ Margot Gerritsen; Pelle Olsson 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 467 KB

A simple and efficient solution strategy is designed for fluid flows governed by the compressible Euler equations. It is constructed from a stable high-order central finite difference scheme on structured composite adaptive grids. This basic framework is suitable for solving smooth flows on complica

Designing an Efficient Solution Strategy

Designing an Efficient Solution Strategy for Fluid Flows: 1. A Stable High Order Finite Difference Scheme and Sharp Shock Resolution for the Euler Equations

✍ Margot Gerritsen; Pelle Olsson 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 464 KB

a plethora of problems in computational fluid dynamics that have these characteristics. Examples are the numerical We derive high-order finite difference schemes for the compressible Euler (and Navier-Stokes equations) that satisfy a semidiscrete • Addition of an artificial viscosity term in refine