scholarly journals Second-Order Invariant Domain Preserving ALE Approximation of Euler Equations

2021 ◽  
Author(s):  
Jean-Luc Guermond ◽  
Bojan Popov ◽  
Laura Saavedra
Keyword(s):  
Finite Elements ◽  
Euler Equations ◽  
Numerical Scheme ◽  
Hyperbolic Systems ◽  
Second Order ◽  
Arbitrary Lagrangian Eulerian ◽  
Invariant Domain ◽  
Eulerian Method ◽  
Arbitrary Lagrangian Eulerian Method ◽  
Order Invariant

AbstractAn invariant domain preserving arbitrary Lagrangian-Eulerian method for solving non-linear hyperbolic systems is developed. The numerical scheme is explicit in time and the approximation in space is done with continuous finite elements. The method is made invariant domain preserving for the Euler equations using convex limiting and is tested on various benchmarks.

Second-order invariant domain preserving ALE approximation of hyperbolic systems

2020 ◽  
Vol 401 ◽  
pp. 108927 ◽  
Author(s):  
Jean-Luc Guermond ◽  
Bojan Popov ◽  
Laura Saavedra
Keyword(s):  
Hyperbolic Systems ◽  
Second Order ◽  
Invariant Domain ◽  
Order Invariant

scholarly journals Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting

2018 ◽  
Vol 40 (5) ◽  
pp. A3211-A3239 ◽  
Author(s):  
Jean-Luc Guermond ◽  
Murtazo Nazarov ◽  
Bojan Popov ◽  
Ignacio Tomas
Keyword(s):  
Euler Equations ◽  
Second Order ◽  
Invariant Domain ◽  
Order Invariant

Performance of Gaseous Parallel-Flow Micro Heat Exchangers

2006 ◽  
Author(s):  
Y. Asako ◽  
C. Hong ◽  
J. Miwa ◽  
M. Faghri
Keyword(s):  
Heat Flux ◽  
Heat Exchange ◽  
Heat Exchangers ◽  
Parallel Plate ◽  
Parallel Flow ◽  
Channel Height ◽  
Arbitrary Lagrangian Eulerian ◽  
Flux Variation ◽  
Eulerian Method ◽  
Arbitrary Lagrangian Eulerian Method

Heat exchangers performance of two-stream parallel-flow gas-gas type micro-heat exchangers is investigated numerically. The flow passages of the micro-heat exchangers are parallel-plate channels with heights in the range of 10 to 100 μm and selected lengths of 12.7 and 25.4 mm. The numerical methodology is based on the Arbitrary-Lagrangian-Eulerian method. The computations were performed to find the effects of capacity ratio, channel height and length on the heat exchange characteristics of micro heat exchangers. The results are presented in form of temperature contours, bulk temperatures, total temperatures and heat flux variation along the channel. Also, the correlation between the effectiveness and Ntu is discussed.

Sign in / Sign up

Export Citation Format

Share Document