scholarly journals Non-Equilibrium Flow Modeling Using High-Order Schemes for the Boltzmann Model Equations

2008 ◽  
Author(s):  
Sruti Chigullapalli ◽  
Ayyaswamy Venkattraman ◽  
Alina Alexeenko ◽  
Mikhail Ivanov
Keyword(s):  
High Order ◽  
Equilibrium Flow ◽  
Flow Modeling ◽  
High Order Schemes ◽  
Model Equations ◽  
Boltzmann Model ◽  
Non Equilibrium

Numerical study on the gas-kinetic high-order schemes for solving Boltzmann model equation

2011 ◽  
Vol 54 (9) ◽  
pp. 1687-1701 ◽  
Author(s):  
ZhiHui Li ◽  
AoPing Peng ◽  
HanXin Zhang ◽  
XiaoGang Deng
Keyword(s):  
Model Equation ◽  
Numerical Study ◽  
High Order ◽  
High Order Schemes ◽  
Boltzmann Model

scholarly journals High-order well-balanced schemes and applications to non-equilibrium flow

2009 ◽  
Vol 228 (18) ◽  
pp. 6682-6702 ◽  
Author(s):  
Wei Wang ◽  
Chi-Wang Shu ◽  
H.C. Yee ◽  
Björn Sjögreen
Keyword(s):  
High Order ◽  
Equilibrium Flow ◽  
Non Equilibrium

ARCJET Fundamentals: Experiments and Non-Equilibrium Flow Modeling.

1996 ◽  
Author(s):  
Herman Krier ◽  
Rodney L. Burton ◽  
S. A. Bufton ◽  
T. W. Megli
Keyword(s):  
Equilibrium Flow ◽  
Flow Modeling ◽  
Non Equilibrium

scholarly journals Positivity preserving high order schemes for angiogenesis models

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
A. Carpio ◽  
E. Cebrian
Keyword(s):  
Kinetic Equation ◽  
Time Discretization ◽  
Strong Stability ◽  
High Order ◽  
Angiogenic Factor ◽  
Strong Stability Preserving ◽  
Positivity Preserving ◽  
Blood Vessel Formation ◽  
High Order Schemes ◽  
Asymptotic Reduction

Abstract Hypoxy induced angiogenesis processes can be described by coupling an integrodifferential kinetic equation of Fokker–Planck type with a diffusion equation for the angiogenic factor. We propose high order positivity preserving schemes to approximate the marginal tip density by combining an asymptotic reduction with weighted essentially non oscillatory and strong stability preserving time discretization. We capture soliton-like solutions representing blood vessel formation and spread towards hypoxic regions.

scholarly journals Compact high-order schemes for the Euler equations

1988 ◽  
Vol 3 (3) ◽  
pp. 275-288 ◽  
Author(s):  
Saul Abarbanel ◽  
Ajay Kumar
Keyword(s):  
Euler Equations ◽  
High Order ◽  
High Order Schemes
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