Multisymplectic Variational Integrators for Fluid Models with Constraints
We present a structure preserving discretization of the fundamental spacetime geometric structures of fluid mechanics in the Lagrangian description in 2D and 3D. Based on this, multisymplectic variational integrators are developed for barotropic and incompressible fluid models, which satisfy a discrete version of Noether theorem. We show how the geometric integrator can handle regular fluid motion in vacuum with free boundaries and constraints such as the impact against an obstacle of a fluid flowing on a surface. Our approach is applicable to a wide range of models including the Boussinesq and shallow water models, by appropriate choice of the Lagrangian.
WOS:000709366400032
2021-01-01
978-3-030-80209-7
978-3-030-80208-0
Cham
Lecture Notes in Computer Science
12829
283
291
REVIEWED
Event name | Event place | Event date |
Paris, FRANCE | Jul 21-23, 2021 | |