Goal-oriented error estimation and mesh adaptation for shallow water modelling
BARRAL, Nicolas
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
See more >
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
BARRAL, Nicolas
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
SN Applied Sciences. 2020-06, vol. 2, n° 6
Springer Verlag
English Abstract
This study presents a novel goal-oriented error estimate for the nonlinear shallow water equations solved using a mixed discontinuous/continuous Galerkin approach. This error estimator takes account of the discontinuities ...Read more >
This study presents a novel goal-oriented error estimate for the nonlinear shallow water equations solved using a mixed discontinuous/continuous Galerkin approach. This error estimator takes account of the discontinuities in the discrete solu-tion and is used to drive two metric-based mesh adaptation algorithms: one which yields isotropic meshes and another which yields anisotropic meshes. An implementation of these goal-oriented mesh adaptation algorithms is described, including a method for approximating the adjoint error term which arises in the error estimate. Results are presented for simulations of two model tidal farm configurations computed using the Thetis coastal ocean model (Kärnä et al. in Geosci Model Dev 11(11):4359–4382, 2018). Convergence analysis indicates that meshes resulting from the goal-oriented adaptation strategies permit accurate QoI estimation using fewer computational resources than uniform refinement.Read less <
English Keywords
Adjoint methods
Mesh adaptation
Discontinuous Galerkin
Tidal turbine modelling
Firedrake
Origin
Hal imported