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lagamex:auto [2022/09/01 13:48] calogero [5th line (7G10.0)] |
lagamex:auto [2024/01/25 15:59] (current) arthur |
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|:::|= 5|Idem as method 3, with parallel real factorization (CAESAR library)| | |:::|= 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]])| | |:::|= 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| | |:::|= 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]]| | |:::|= ±10|Iterative solver with mixed constraint preconditioner (GMRES or BiCGstab methods) → see [[appendices:a22|appendix 22]]| | ||
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|Implicit| θ = 1| β = 0 | | |Implicit| θ = 1| β = 0 | | ||
- | The integration scheme is made of two parts : | + | The integration scheme is made of two parts : \\ |
- | - the first one (θ) is about the referencial time for the strain | + | - 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 parameter | + | - the second one (β) is about the referencial time for the material parameters\\ |
which gives : | which gives : | ||
\[ σ^{t+1} = [(1-θ-β) ALAMX + β ALBMX] ε^{t} + [β ALAMX + (θ-β) ALBMX] ε^{t+1} \] | \[ σ^{t+1} = [(1-θ-β) ALAMX + β ALBMX] ε^{t} + [β ALAMX + (θ-β) ALBMX] ε^{t+1} \] | ||
+ | |||
+ | Where ALAMX represent material properties at time t and ALBMX at t+1 | ||