A limited memory algorithm for bound constrained optimization
SIAM Journal on Scientific Computing
Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization
ACM Transactions on Mathematical Software (TOMS)
Grid adaptation for functional outputs: application to two-dimensional inviscid flows
Journal of Computational Physics
A steepest descent method for vector optimization
Journal of Computational and Applied Mathematics
A Fully Implicit Jacobian-Free High-Order Discontinuous Galerkin Mesoscale Flow Solver
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Adjoint-based h-p adaptive discontinuous Galerkin methods for the 2D compressible Euler equations
Journal of Computational Physics
Journal of Computational Physics
Computational aspects of chemical data assimilation into atmospheric models
ICCS'03 Proceedings of the 2003 international conference on Computational science
Discrete and continuous adjoint approaches to estimate boundary heat fluxes in falling films
Optimization Methods & Software
Proceedings of the 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis
Hi-index | 31.45 |
An unsteady discrete adjoint implementation for a discontinuous Galerkin model solving the shallow water wave equations on the sphere is presented. Its use for tsunami simulations is introduced to reconstruct the initial condition automatically from buoy measurements. Based on this feature, a real-time tsunami model is developed, using several numerical tools such as a high-order discretization, hp-refinement, parallel dynamic load balancing and adjoint-based data assimilation. The model is able to reconstruct the tsunami source and accurately forecast its far-field propagation (e.g. from Japan to Chile, at a distance of about 17000km) in a computational time 20 times faster than the physical propagation time, to which the data collecting time needs to be added. The work presented constitutes a step towards an efficient nonlinear tsunami warning model. Additional features could be added for more complete realistic forecasts.