scholarly journals Numerical experiments of flux difference splitting methods with high resolution scheme for supersonic flows

2019 ◽  
Vol 1240 ◽  
pp. 012020
Author(s):  
Uttam Singh Rajput ◽  
Krishna Mohan Singh
Keyword(s):  
High Resolution ◽  
Numerical Experiments ◽  
Supersonic Flows ◽  
Splitting Methods ◽  
Resolution Scheme ◽  
Flux Difference

scholarly journals Numerical Solution of a Nonlocal Problem Modelling Ohmic Heating of Foods

2009 ◽  
Vol 9 (4) ◽  
pp. 391-411
Author(s):  
C. V. Nikolopoulos
Keyword(s):  
High Resolution ◽  
Numerical Solution ◽  
Numerical Experiments ◽  
Ohmic Heating ◽  
Nonlocal Problem ◽  
Local Problem ◽  
One Dimensional ◽  
Resolution Scheme ◽  
Non Local ◽  
Theoretical Results

Abstract An upwind and a Lax-Wendroff scheme are introduced for the solution of a one-dimensional non-local problem modelling ohmic heating of foods. The schemes are studied regarding their consistency, stability, and the rate of convergence for the cases that the problem attains a global solution in time. A high resolution scheme is also introduced and it is shown that it is total-variation-stable. Finally some numerical experiments are presented in support of the theoretical results.

Axisymmetric Hurricane in a Dry Atmosphere: Theoretical Framework and Numerical Experiments

2011 ◽  
Vol 68 (8) ◽  
pp. 1607-1619 ◽  
Author(s):  
Agnieszka A. Mrowiec ◽  
Stephen T. Garner ◽  
Olivier M. Pauluis
Keyword(s):  
Water Vapor ◽  
High Resolution ◽  
Numerical Model ◽  
Numerical Experiments ◽  
Momentum Flux ◽  
Theoretical Framework ◽  
Moist Processes ◽  
Energy And Momentum ◽  
The Relationship ◽  
Theoretical Insight

Abstract This paper discusses the possible existence of hurricanes in an atmosphere without water vapor and analyzes the dynamic and thermodynamic structures of simulated hurricane-like storms in moist and dry environments. It is first shown that the “potential intensity” theory for axisymmetric hurricanes is directly applicable to the maintenance of a balanced vortex sustained by a combination of surface energy and momentum flux, even in the absence of water vapor. This theoretical insight is confirmed by simulations with a high-resolution numerical model. The same model is then used to compare dry and moist hurricanes. While it is found that both types of storms exhibit many similarities and fit well within the theoretical framework, there are several differences, most notably in the storm inflow and in the relationship between hurricane size and intensity. Such differences indicate that while water vapor is not necessary for the maintenance of hurricane-like vortices, moist processes directly affect the structure of these storms.

scholarly journals Absolute frequency of cesium 6S–8S 822 nm two-photon transition by a high-resolution scheme

2013 ◽  
Vol 38 (16) ◽  
pp. 3186 ◽  
Author(s):  
Chien-Ming Wu ◽  
Tze-Wei Liu ◽  
Ming-Hsuan Wu ◽  
Ray-Kuang Lee ◽  
Wang-Yau Cheng
Keyword(s):  
High Resolution ◽  
Absolute Frequency ◽  
Two Photon ◽  
Photon Transition ◽  
Resolution Scheme

scholarly journals Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 156 ◽  
Author(s):  
Chanjuan Pan ◽  
Yuanheng Wang
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Minimization Problem ◽  
Numerical Experiments ◽  
Splitting Method ◽  
Splitting Methods ◽  
Strong Convergence Theorem ◽  
Accretive Operators ◽  
Convex Minimization Problem ◽  
Inertial Extrapolation

In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method.

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