Zobrazeno 1 - 10
of 27
pro vyhledávání: '"LUNDGREN, LUKAS"'
Autor:
Lundgren, Lukas, Helanow, Christian, Wiskandt, Jonathan, Koszalka, Inga Monika, Ahlkrona, Josefin
We introduce a continuous Galerkin finite element discretization of the non-hydrostatic Boussinesq approximation of the Navier-Stokes equations, suitable for various applications such as coastal ocean dynamics and ice-ocean interactions, among others
Externí odkaz:
http://arxiv.org/abs/2409.00972
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
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:
Lundgren, Lukas, Nazarov, Murtazo
Publikováno v:
In Journal of Computational Physics 1 August 2024 510
A high-order residual-based viscosity finite element method for incompressible variable density flow
Autor:
Lundgren, Lukas, Nazarov, Murtazo
Publikováno v:
In Journal of Computational Physics 15 January 2024 497
Autor:
Lundgren, Lukas
In this thesis a high order finite difference scheme is derived and implemented solving the shallow water equations using the SBP-SAT method. This method was tested against various benchmark problems were convergence was verified. The shallow water e
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-354689
Autor:
Lundgren, Lukas, Nazarov, Murtazo
Publikováno v:
In Journal of Computational and Applied Mathematics 15 March 2023 421
Publikováno v:
In Journal of Computational Physics 1 April 2021 430