Zobrazeno 1 - 10
of 113
pro vyhledávání: '"NAZAROV, MURTAZO"'
Autor:
Dao, Tuan Anh, Nazarov, Murtazo
We present a novel high-order nodal artificial viscosity approach designed for solving Magnetohydrodynamics (MHD) equations. Unlike conventional methods, our approach eliminates the need for ad hoc parameters. The viscosity is mesh-dependent, yet exp
Externí odkaz:
http://arxiv.org/abs/2404.09311
Nonlinear conservation laws such as the system of ideal magnetohydrodynamics (MHD) equations may develop singularities over time. In these situations, viscous regularization is a common approach to regain regularity of the solution. In this paper, we
Externí odkaz:
http://arxiv.org/abs/2402.03929
We introduce a novel structure-preserving method in order to approximate the compressible ideal Magnetohydrodynamics (MHD) equations. This technique addresses the MHD equations using a non-divergence formulation, where the contributions of the magnet
Externí odkaz:
http://arxiv.org/abs/2310.18467
Autor:
Lundgren, Lukas, Nazarov, Murtazo
This paper introduces a formulation of the variable density incompressible Navier-Stokes equations by modifying the nonlinear terms in a consistent way. For Galerkin discretizations, the formulation leads to full discrete conservation of mass, square
Externí odkaz:
http://arxiv.org/abs/2305.04813
Autor:
Lundgren, Lukas, Nazarov, Murtazo
In this paper, we introduce a fourth-order accurate finite element method for incompressible variable density flow. The method is implicit in time and constructed with the Taylor series technique, and uses standard high-order Lagrange basis functions
Externí odkaz:
http://arxiv.org/abs/2209.09698
Autor:
Dao, Tuan Anh, Nazarov, Murtazo
Publikováno v:
Computer Methods in Applied Mechanics and Engineering 398 (2022): 115269
We show at the PDE level that the monolithic parabolic regularization of the equations of ideal magnetohydrodynamics (MHD) is compatible with all the generalized entropies, fulfills the minimum entropy principle, and preserves the positivity of densi
Externí odkaz:
http://arxiv.org/abs/2206.09568
Autor:
Lundgren, Lukas, Nazarov, Murtazo
Publikováno v:
In Journal of Computational Physics 1 August 2024 510
Publikováno v:
In Journal of Computational Physics 1 July 2024 508
Autor:
Dao, Tuan Anh, Nazarov, Murtazo
We present a high order, robust, and stable shock-capturing technique for finite element approximations of ideal MHD. The method uses continuous Lagrange polynomials in space and explicit Runge-Kutta schemes in time. The shock-capturing term is based
Externí odkaz:
http://arxiv.org/abs/2112.08885
Autor:
Leitenmaier, Lena, Nazarov, Murtazo
We present a Heterogeneous Multiscale Method for the Landau-Lifshitz equation with a highly oscillatory diffusion coefficient, a simple model for a ferromagnetic composite. A finite element macro scheme is combined with a finite difference micro mode
Externí odkaz:
http://arxiv.org/abs/2111.11197