Using exact Jacobians in an implicit Newton-Krylov method
From MaRDI portal
Publication:1043069
DOI10.1016/j.compfluid.2005.10.003zbMath1177.76213OpenAlexW2043105681MaRDI QIDQ1043069
A. Rasch, F. D. Bramkamp, H. Martin Bücker
Publication date: 7 December 2009
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2005.10.003
Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Iterative numerical methods for linear systems (65F10)
Related Items (3)
Convergence acceleration for subiterative DDADI/ D3ADI using multiblock implicit boundary condition ⋮ Automatic differentiation using operator overloading (ADOO) for implicit resolution of hyperbolic single phase and two-phase flow models ⋮ A Newton-Krylov method with an approximate analytical Jacobian for implicit solution of Navier-Stokes equations on staggered overset-curvilinear grids with immersed boundaries
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An adaptive multiscale finite volume solver for unsteady and steady state flow computations
- On Godunov-type methods near low densities
- Automatic differentiation: techniques and applications
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids
- Restoration of the contact surface in the HLL-Riemann solver
- Assessment of preconditioning methods for multidimensional aerodynamics
- Average-state Jacobians and implicit methods for compressible viscous and turbulent flows
- Flow modulation and fluid-structure interaction at airplane wings.
- Numerical methods in sensitivity analysis and shape optimization. With CD-ROM
- Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
- Sensitivity derivatives for advanced CFD algorithm and viscous modeling parameters via automatic differentiation
- Efficient time integration of Navier-Stokes equations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Comparison of numerical and analytical Jacobians
- On the Choice of Wavespeeds for the HLLC Riemann Solver
- Extending the functionality of the general-purpose finite element package SEPRAN by automatic differentiation
- Preconditioning applied to variable and constant density flows
- Computational differentiation: techniques, applications, and tools
- Parallel simulation of compressible flow using automatic differentiation and PETSc
- An introduction to the adjoint approach to design
This page was built for publication: Using exact Jacobians in an implicit Newton-Krylov method
