α regularization of the POD-Galerkin dynamical systems of the Kuramoto–Sivashinsky equation
F Sabetghadam, A Jafarpour - Applied Mathematics and Computation, 2012 - Elsevier
In order to improve the dynamics and stability of the POD-Galerkin models of strongly-stiff
systems, an α-like regularization is suggested and assessed in the present article. In this …
systems, an α-like regularization is suggested and assessed in the present article. In this …
Analysis of a general family of regularized Navier–Stokes and MHD models
We consider a general family of regularized Navier–Stokes and Magnetohydrodynamics
(MHD) models on n-dimensional smooth compact Riemannian manifolds with or without …
(MHD) models on n-dimensional smooth compact Riemannian manifolds with or without …
The Hamiltonian structure and Euler-Poincaré formulation of the Vlasov-Maxwell and gyrokinetic systems
We present a new variational principle for the gyrokinetic system, similar to the Maxwell-
Vlasov action presented in H. Cendra et al.,[J. Math. Phys. 39, 3138 (1998)]. The variational …
Vlasov action presented in H. Cendra et al.,[J. Math. Phys. 39, 3138 (1998)]. The variational …
Geometric generalised Lagrangian-mean theories
AD Gilbert, J Vanneste - Journal of Fluid Mechanics, 2018 - cambridge.org
Many fluctuation-driven phenomena in fluids can be analysed effectively using the
generalised Lagrangian-mean (GLM) theory of Andrews & McIntyre (J. Fluid Mech., vol. 89 …
generalised Lagrangian-mean (GLM) theory of Andrews & McIntyre (J. Fluid Mech., vol. 89 …
Variational asymptotics for rotating shallow water near geostrophy: a transformational approach
M Oliver - Journal of Fluid Mechanics, 2006 - cambridge.org
We introduce a unified variational framework in which the classical balance models for
nearly geostrophic shallow water as well as several new models can be derived. Our …
nearly geostrophic shallow water as well as several new models can be derived. Our …
A regularization of the Burgers equation using a filtered convective velocity
This paper examines the properties of a regularization of the Burgers equation in one and
multiple dimensions using a filtered convective velocity, which we have dubbed as the …
multiple dimensions using a filtered convective velocity, which we have dubbed as the …
The relationship between a deformation-based eddy parameterization and the lans-α turbulence model
A recent class of ocean eddy parameterizations proposed by Porta Mana and Zanna (2014)
and Anstey and Zanna (2017) modeled the large-scale flow as a non-Newtonian fluid whose …
and Anstey and Zanna (2017) modeled the large-scale flow as a non-Newtonian fluid whose …
On the convergence of the convectively filtered Burgers equation to the entropy solution of the inviscid Burgers equation
This paper provides a proof that the solutions to the convectively filtered Burgers equation
will converge to the entropy solution of the inviscid Burgers equation when certain …
will converge to the entropy solution of the inviscid Burgers equation when certain …
A dynamic model for the Lagrangian-averaged Navier-Stokes-α equations
A dynamic procedure for the Lagrangian-averaged Navier-Stokes-α (LANS-α) equations is
developed where the variation in the parameter α in the direction of anisotropy is determined …
developed where the variation in the parameter α in the direction of anisotropy is determined …
Shock regularization for the Burgers equation
As is well-known, the inviscid Burgers equation is prone to shock formation. A class of
regularized Burgers equations is proposed that do not have an explicit artificial viscosity …
regularized Burgers equations is proposed that do not have an explicit artificial viscosity …