Scale-Resolving Simulations on Unstructured Meshes with a Low-Dissipation Low-Dispersion Scheme

2017 ◽  
pp. 489-498 ◽  
Author(s):  
Axel Probst
Keyword(s):  
Unstructured Meshes ◽  
Low Dissipation ◽  
Low Dispersion

Optimized low-dissipation and low-dispersion schemes for compressible flows

2018 ◽  
Vol 371 ◽  
pp. 820-849 ◽  
Author(s):  
Yao Jin ◽  
Fei Liao ◽  
Jinsheng Cai
Keyword(s):  
Compressible Flows ◽  
Low Dissipation ◽  
Low Dispersion

scholarly journals The Technique of MIEELDLD in Computational Aeroacoustics

2012 ◽  
Vol 2012 ◽  
pp. 1-30
Author(s):  
A. R. Appadu
Keyword(s):  
Fluid Dynamics ◽  
High Order ◽  
Computational Aeroacoustics ◽  
Advection Equation ◽  
Optimal Parameters ◽  
Numerical Schemes ◽  
Low Dissipation ◽  
Linear Advection Equation ◽  
Discretization Schemes ◽  
Low Dispersion

The numerical simulation of aeroacoustic phenomena requires high-order accurate numerical schemes with low dispersion and low dissipation errors. A technique has recently been devised in a Computational Fluid Dynamics framework which enables optimal parameters to be chosen so as to better control the grade and balance of dispersion and dissipation in numerical schemes (Appadu and Dauhoo, 2011; Appadu, 2012a; Appadu, 2012b; Appadu, 2012c). This technique has been baptised as the Minimized Integrated Exponential Error for Low Dispersion and Low Dissipation (MIEELDLD) and has successfully been applied to numerical schemes discretising the 1-D, 2-D, and 3-D advection equations. In this paper, we extend the technique of MIEELDLD to the field of computational aeroacoustics and have been able to construct high-order methods with Low Dispersion and Low Dissipation properties which approximate the 1-D linear advection equation. Modifications to the spatial discretization schemes designed by Tam and Webb (1993), Lockard et al. (1995), Zingg et al. (1996), Zhuang and Chen (2002), and Bogey and Bailly (2004) have been obtained, and also a modification to the temporal scheme developed by Tam et al. (1993) has been obtained. These novel methods obtained using MIEELDLD have in general better dispersive properties as compared to the existing optimised methods.

scholarly journals A low-dispersion and low-dissipation implicit Runge–Kutta scheme

2013 ◽  
Vol 233 ◽  
pp. 315-323 ◽  
Author(s):  
A. Najafi-Yazdi ◽  
L. Mongeau
Keyword(s):  
Low Dissipation ◽  
Runge Kutta ◽  
Low Dispersion

Low-dissipation and low-dispersion fourth-order Runge–Kutta algorithm

2006 ◽  
Vol 35 (10) ◽  
pp. 1459-1463 ◽  
Author(s):  
Julien Berland ◽  
Christophe Bogey ◽  
Christophe Bailly
Keyword(s):  
Fourth Order ◽  
Low Dissipation ◽  
Runge Kutta ◽  
Low Dispersion
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