The Cartesian Grid Active Flux Method: Linear stability and bound preserving limiting

2021 ◽  
Vol 393 ◽  
pp. 125501
Author(s):  
Erik Chudzik ◽  
Christiane Helzel ◽  
David Kerkmann
Keyword(s):  
Linear Stability ◽  
Cartesian Grid ◽  
Flux Method ◽  
Active Flux

J0520102 Flow Simulation over a Turbine Blade on Cartesian Grid using Virtual Flux Method

2015 ◽  
Vol 2015 (0) ◽  
pp. _J0520102--_J0520102-
Author(s):  
Masaki SHINKAWA ◽  
Tomohiro FUKUI ◽  
Karin HIRAKAWA ◽  
Ruriko YAMAWAKI ◽  
Koji MORINISHI
Keyword(s):  
Turbine Blade ◽  
Flow Simulation ◽  
Cartesian Grid ◽  
Flux Method ◽  
Virtual Flux

scholarly journals Simulation around Arbitrary Shape Body with Virtual Flux Method on Cartesian Grid

2004 ◽  
Vol 70 (699) ◽  
pp. 2689-2696 ◽  
Author(s):  
Itaru TANNO ◽  
Koji MORINISHI ◽  
Kenichi MATSUNO ◽  
Hidetoshi NISHIDA
Keyword(s):  
Arbitrary Shape ◽  
Cartesian Grid ◽  
Flux Method ◽  
Virtual Flux

scholarly journals Stationarity Preservation Properties of the Active Flux Scheme on Cartesian Grids

2020 ◽  
Author(s):  
Wasilij Barsukow
Keyword(s):  
Evolution Operator ◽  
Hyperbolic Systems ◽  
Finite Volume Scheme ◽  
Stationary States ◽  
Flux Method ◽  
Spatial Dimensions ◽  
Systems Of Conservation Laws ◽  
The One ◽  
Active Flux ◽  
Additional Point

Abstract Hyperbolic systems of conservation laws in multiple spatial dimensions display features absent in the one-dimensional case, such as involutions and non-trivial stationary states. These features need to be captured by numerical methods without excessive grid refinement. The active flux method is an extension of the finite volume scheme with additional point values distributed along the cell boundary. For the equations of linear acoustics, an exact evolution operator can be used for the update of these point values. It incorporates all multi-dimensional information. The active flux method is stationarity preserving, i.e., it discretizes all the stationary states of the PDE. This paper demonstrates the experimental evidence for the discrete stationary states of the active flux method and shows the evolution of setups towards a discrete stationary state.

The crystal structure and magnetic properties of a Zintl phase EuIrIn4: the first member of the Eu–Ir–In family

2014 ◽  
Vol 43 (42) ◽  
pp. 15879-15886 ◽  
Author(s):  
Sumanta Sarkar ◽  
Matthias J. Gutmann ◽  
Sebastian C. Peter
Keyword(s):  
Crystal Structure ◽  
Magnetic Properties ◽  
Transition Metals ◽  
Flux Method ◽  
Zintl Phase ◽  
Metal Flux ◽  
Active Flux ◽  
The Eu

EuIrIn4is the first member of the Eu–Ir–In family to be synthesized by the metal flux method using indium as the active flux. It is the first YNiAl4type variant of RETX4with 9th group transition metals and lanthanides.

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