32 citations · 131 across the 24 of their papers we have counts for
4 papers · 1 filter
A continuous data assimilation closure for modeling statistically steady turbulence in large-eddy simulation
Sagy Ephrati, Arnout Franken, Erwin Luesink +2
A closure model is presented for large-eddy simulation (LES) based on the three-dimensional variational data assimilation algorithm. The approach aims at reconstructing high-fideli…
Stochastic Geometric Mechanics for Fluid Dynamics
Darryl D. Holm, Erwin Luesink
Stochastic geometric mechanics (SGM) is known for its potential utility in quantifying uncertainty in global climate modelling of the Earth's ocean and atmosphere while also preser…
Intrinsic nonlinear elasticity: An exterior calculus formulation
Ramy Rashad, Andrea Brugnoli, Federico Califano +2
In this paper we formulate the theory of nonlinear elasticity in a geometrically intrinsic manner using exterior calculus and bundle-valued differential forms. We represent kinemat…
An explicit method to determine Casimirs in 2D geophysical flows
Erwin Luesink, Bernard Geurts
Conserved quantities in geophysical flows play an important role in the characterisation of geophysical dynamics and aid the development of structure-preserving numerical methods.…