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--- lagamex:auto [2020/11/30 13:50]
helene [1st line (14I5) - Starting and saving files]
+++ lagamex:auto [2024/01/25 15:59] (current)
arthur
@@ Line 13: / Line 13: @@
 |:::|= 5|Idem as method 3, with parallel real factorization (CAESAR library)|
 |:::|= 6|GMRES method coupling with incomplete LU preconditionner, \\ Morse storage (see [[appendices:a19|appendix 19]])|
+|:::|= 8|Parallel solver SOLVE_DSS|
 |:::|= 9|Morse storage, PARDISO renumbering, Direct Solver LU symbolic and real factorization|
 |:::|= ±10|Iterative solver with mixed constraint preconditioner (GMRES or BiCGstab methods) → see [[appendices:a22|appendix 22]]|
@@ Line 130: / Line 131: @@
 |Cranck-Nicolson |θ = 1/2| β = 1/4 |
 |Implicit| θ = 1| β = 0 |
+The integration scheme is made of two parts : \\
+- the first one (θ) is about the referencial time for the energy balance \\
+- the second one (β) is about the referencial time for the material parameters\\
+which gives :
+\[ σ^{t+1} = [(1-θ-β) ALAMX + β ALBMX] ε^{t} + [β ALAMX + (θ-β) ALBMX] ε^{t+1}   \]
+Where ALAMX represent material properties at time t and ALBMX at t+1
 === For seepage pollutant flow transport with fixed mesh and Eulerian Lagrangian method (ICRIT=3): ===
 STRAT(4)<sup>40</sup> to STRAT(7)<sup>70</sup>

Lagamine