scholarly journals Two Dimensional Analysis and Optimization of Hybrid MDCD-TENO Schemes

2021 ◽  
Vol 90 (1) ◽  
Author(s):  
Raynold Tan ◽  
Andrew Ooi
Keyword(s):  
Dimensional Analysis ◽  
Spectral Properties ◽  
Linear Part ◽  
Grid Size ◽  
Shock Capturing ◽  
Test Cases ◽  
Two Dimensional ◽  
Analysis Framework ◽  
Hybrid Scheme ◽  
Linearized Euler Equations

AbstractIn this article, a quasi-linear semi-discrete analysis of shock capturing schemes in two dimensional wavenumber space is proposed. Using the dispersion relation of the two dimensional advection and linearized Euler equations, the spectral properties of a spatial scheme can be quantified in two dimensional wavenumber space. A hybrid scheme (HYB-MDCD-TENO6) which combines the merits of the minimum dispersion and controllable dissipation (MDCD) scheme with the targeted essentially non-oscillatory (TENO) scheme was developed and tested. Using the two dimensional analysis framework, the scheme was spectrally optimized in such a way that the linear part of the scheme can be separately optimized for its dispersion and dissipation properties. In order to compare its performance against existing schemes, the proposed scheme as well as the baseline schemes were tested against a series of benchmark test cases. It was found that the HYB-MDCD-TENO6 scheme provides similar or better resolution as compared to the baseline TENO6 schemes for the same grid size.

Effect of the lifetime of the intermediate 5Li state in the 6Li(3He, αp)4He reaction

1968 ◽  
Vol 46 (20) ◽  
pp. 2241-2251 ◽  
Author(s):  
M. A. Reimann ◽  
P. W. Martin ◽  
E. W. Vogt
Keyword(s):  
Dimensional Analysis ◽  
Energy Dependence ◽  
Ground State ◽  
Intermediate State ◽  
Two Dimensional ◽  
Short Life ◽  
Semiclassical Model ◽  
Analysis Technique ◽  
The Asymmetry

A cylindrical asymmetry about the direction of motion of 5Li has been seen in the breakup of the ground state of this nucleus observed as an intermediate state in the reaction 6Li(3He, pα)4He. Measurements were made at bombarding energies of 1.00, 1.25, and 1.50 MeV with isotopically enriched LiF targets using a two-dimensional analysis technique. We explain both the rough magnitude of the asymmetry and its qualitative energy dependence in terms of a simple semiclassical model. In this model the origin of the asymmetry is associated with the short life of the 5Li intermediate state and with the memory retained by the proton during this short life of its "localization" at the time of formation of 5Li.

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