High accuracy finite difference algorithms for computational aeroacoustics

1997 ◽  
Author(s):  
John Goodrich ◽  
John Goodrich
Keyword(s):  
Finite Difference ◽  
High Accuracy ◽  
Computational Aeroacoustics

High-accuracy algorithms for computational aeroacoustics

AIAA Journal ◽  
1995 ◽  
Vol 33 (2) ◽  
pp. 246-251 ◽  
Author(s):  
David P. Lockard ◽  
Kenneth S. Brentner ◽  
H. L. Atkins
Keyword(s):  
High Accuracy ◽  
Computational Aeroacoustics

Analysis of anisotropy of numerical wave solutions by high accuracy finite difference methods

2011 ◽  
Vol 230 (1) ◽  
pp. 27-60 ◽  
Author(s):  
Tapan K. Sengupta ◽  
Manoj K. Rajpoot ◽  
Shakti Saurabh ◽  
V.V.S.N. Vijay
Keyword(s):  
Finite Difference ◽  
Finite Difference Methods ◽  
High Accuracy ◽  
Wave Solutions ◽  
Difference Methods ◽  
Numerical Wave

DEVELOPMENT OF NEW HARMONIC EULER USING NONSTANDARD FINITE DIFFERENCE TECHNIQUE FOR SOLVING STIFF PROBLEMS

2015 ◽  
Vol 77 (20) ◽  
Author(s):  
Nurhafizah Moziyana Mohd Yusop ◽  
Mohammad Khatim Hasan
Keyword(s):  
Finite Difference ◽  
Numerical Algorithm ◽  
Mesh Size ◽  
High Accuracy ◽  
Euler Method ◽  
Stiff Problems ◽  
Harmonic Mean ◽  
Stiff Problem ◽  
Finite Difference Technique ◽  
Nonstandard Finite Difference

Solving stiff problem always required very tiny size of meshes if it is solved via traditional numerical algorithm. Using insufficient of mesh size, will triggered instabilities. In this paper, we develop an algorithm applying Harmonic Mean on Euler method to solve the stiff problems. The main purpose of this paper is to discuss the improvement of Harmonic Euler using Nonstandard Finite Difference (NSFD). The combination of these methods can provide new advantages that Euler method could offer. Four set of stiff problems are solved via three schemes, i.e. Harmonic Euler, Nonstandard Harmonic Euler and Nonstandard EO with Harmonic Euler. Findings show that both nonstandard schemes produce high accuracy results.

Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence

2018 ◽  
Vol 98 (2) ◽  
pp. 506-510 ◽  
Author(s):  
N. A. Zyuzina ◽  
O. A. Kovyrkina ◽  
V. V. Ostapenko
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
High Accuracy
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