Zobrazeno 1 - 10
of 602
pro vyhledávání: '"Nordström, Jan"'
Autor:
Nordström, Jan, Malan, Arnaud. G.
We show that a reformulation of the governing equations for incompressible multi-phase flow in the volume of fluid setting leads to a well defined energy rate. Weak nonlinear inflow-outflow and solid wall boundary conditions complement the developmen
Externí odkaz:
http://arxiv.org/abs/2406.19525
We introduce a novel construction procedure for one-dimensional summation-by-parts (SBP) operators. Existing construction procedures for FSBP operators of the form $D = P^{-1} Q$ proceed as follows: Given a boundary operator $B$, the norm matrix $P$
Externí odkaz:
http://arxiv.org/abs/2405.08770
We show that even though the Discontinuous Galerkin Spectral Element Method is stable for hyperbolic boundary-value problems, and the overset domain problem is well-posed in an appropriate norm, the energy of the approximation of the latter is bounde
Externí odkaz:
http://arxiv.org/abs/2405.04668
We present a novel solution procedure for initial boundary value problems. The procedure is based on an action principle, in which coordinate maps are included as dynamical degrees of freedom. This reparametrization invariant action is formulated in
Externí odkaz:
http://arxiv.org/abs/2404.18676
Autor:
Nordström, Jan
Publikováno v:
Journal of Computational Physics 512 (2024) 113145
We show that a specific skew-symmetric formulation of the nonlinear terms in the compressible Navier-Stokes equations leads to an energy rate in terms of surface integrals only. No dissipative volume integrals contribute to the energy rate. We also d
Externí odkaz:
http://arxiv.org/abs/2401.12038
Autor:
Rothkopf, Alexander, Nordström, Jan
In a recently developed variational discretization scheme for second order initial value problems ( J. Comput. Phys. 498, 112652 (2024) ), it was shown that the Noether charge associated with time translation symmetry is exactly preserved in the inte
Externí odkaz:
http://arxiv.org/abs/2312.09772
A stencil-adaptive SBP-SAT finite difference scheme is shown to display superconvergent behavior. Applied to the linear advection equation, it has a convergence rate $\mathcal{O}(\Delta x^4)$ in contrast to a conventional scheme, which converges at a
Externí odkaz:
http://arxiv.org/abs/2307.14034
Autor:
Rothkopf, Alexander, Nordström, Jan
Taking insight from the theory of general relativity, where space and time are treated on the same footing, we develop a novel geometric variational discretization for second order initial value problems (IVPs). By discretizing the dynamics along a w
Externí odkaz:
http://arxiv.org/abs/2307.04490
Autor:
Nordström, Jan
Publikováno v:
Journal of Computational Physics 2024
We investigate the influence of uncertain data on solutions to initial boundary value problems. Uncertainty in the forcing function, initial conditions and boundary conditions are considered and we quantify their relative influence for short and long
Externí odkaz:
http://arxiv.org/abs/2306.16486
Many applications rely on solving time-dependent partial differential equations (PDEs) that include second derivatives. Summation-by-parts (SBP) operators are crucial for developing stable, high-order accurate numerical methodologies for such problem
Externí odkaz:
http://arxiv.org/abs/2306.16314