A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
Method of lines and direct discretization: a comparison for linear advection
Applied Numerical Mathematics
Choosing the forcing terms in an inexact Newton method
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation
SIAM Journal on Scientific Computing
Recipes for adjoint code construction
ACM Transactions on Mathematical Software (TOMS)
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
SIAM Journal on Scientific Computing
Parallel simulation of compressible flow using automatic differentiation and PETSc
Parallel Computing - Special issue on parallel computing in aerospace
Jacobian-free Newton-Krylov methods: a survey of approaches and applications
Journal of Computational Physics
Scientific Programming - High Performance Computing for Mission-Enabling Space Applications
Future Generation Computer Systems
Journal of Computational Physics
Journal of Computational Physics
A second-order accurate in time IMplicit-EXplicit (IMEX) integration scheme for sea ice dynamics
Journal of Computational Physics
Hi-index | 31.45 |
The most common representation of sea ice dynamics in climate models assumes that sea ice is a quasi-continuous non-normal fluid with a viscous-plastic rheology. This rheology leads to non-linear sea ice momentum equations that are notoriously difficult to solve. Recently a Jacobian-free Newton-Krylov (JFNK) solver was shown to solve the equations accurately at moderate costs. This solver is extended for massive parallel architectures and vector computers and implemented in a coupled sea ice-ocean general circulation model for climate studies. Numerical performance is discussed along with numerical difficulties in realistic applications with up to 1920 CPUs. The parallel JFNK-solver@?s scalability competes with traditional solvers although the collective communication overhead starts to show a little earlier. When accuracy of the solution is required (i.e. reduction of the residual norm of the momentum equations of more that one or two orders of magnitude) the JFNK-solver is unrivalled in efficiency. The new implementation opens up the opportunity to explore physical mechanisms in the context of large scale sea ice models and climate models and to clearly differentiate these physical effects from numerical artifacts.