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Revision as of 15:20, 6 June 2012

Motivation

H-Allegro uses the compressible and reactive Navier-Stokes equations in order to solve two-phase combustion. It also takes into account a simplified chemistry of the reaction and the propagation of acoustic waves.

H-Allegro was developped by Eric Albin and Marianne Sjostrand.

Equations and Hypotheses

Equations

• ${\displaystyle {\dfrac {\partial {\rho }}{\partial {t}}}+{\dfrac {\partial {{\rho }U_{j}}}{\partial {x_{j}}}}=0}$

• ${\displaystyle {\dfrac {\partial {{\rho }U_{i}}}{\partial {t}}}+{\dfrac {\partial {\rho }U_{i}U_{j}}{\partial {x_{j}}}}+{\dfrac {\partial {P}}{\partial {x_{i}}}}={\dfrac {\partial {\tau _{ij}}}{\partial {x_{j}}}}+S_{i}}$

• ${\displaystyle {\dfrac {\partial {{\rho }E}}{\partial {t}}}+{\dfrac {\partial {(P+{\rho }E)}U_{j}}{\partial {x_{j}}}}={\dfrac {\partial {q_{j}}}{\partial {x_{j}}}}+{\dfrac {\partial {\tau _{ij}U_{i}}}{\partial {x_{j}}}}+S_{5}}$

• ${\displaystyle {\dfrac {\partial {{\rho }Y_{k}}}{\partial {t}}}+{\dfrac {\partial {{\rho }Y_{k}U_{j}}}{\partial {x_{j}}}}={\dfrac {\partial {q_{j}^{k}}}{\partial {x_{j}}}}+S_{k}}$

Hypotheses

Partie de Mélissa

Solvers

H-Allegro uses various solvers.

Models

To do

Numerics

Data Structures

Software Engineering

Gallery

Performances