Zobrazeno 1 - 10
of 708
pro vyhledávání: '"Ramírez, Andrés"'
In this paper, we present an entropy-stable (ES) discretization using a nodal discontinuous Galerkin (DG) method for the ideal multi-ion magneto-hydrodynamics (MHD) equations. We start by performing a continuous entropy analysis of the ideal multi-io
Externí odkaz:
http://arxiv.org/abs/2402.14615
Blockchain security is becoming increasingly relevant in today's cyberspace as it extends its influence in many industries. This paper focuses on protecting the lowest level layer in the blockchain, particularly the P2P network that allows the nodes
Externí odkaz:
http://arxiv.org/abs/2310.09193
We extend the monolithic convex limiting (MCL) methodology to nodal discontinuous Galerkin spectral element methods (DGSEM). The use of Legendre-Gauss-Lobatto (LGL) quadrature endows collocated DGSEM space discretizations of nonlinear hyperbolic prob
Externí odkaz:
http://arxiv.org/abs/2303.00374
In this paper, we show that diagonal-norm summation by parts (SBP) discretizations of general non-conservative systems of hyperbolic balance laws can be rewritten as a finite-volume-type formula, also known as flux-differencing formula, if the non-co
Externí odkaz:
http://arxiv.org/abs/2211.14009
Publikováno v:
J. Comput. Phys., 489 (2023), Article 112298
In this work, we propose an extension of telescopic derivative operators for the DGSEM with Gauss nodes, and we prove that this formulation is equivalent to its usual matrix counterpart. Among other possible applications, this allows extending the st
Externí odkaz:
http://arxiv.org/abs/2211.05066
Autor:
Rueda-Ramírez, Andrés M., Ntoukas, Gerasimos, Rubio, Gonzalo, Valero, Eusebio, Ferrer, Esteban
In this work, we extend the $\tau$-estimation method to unsteady problems and use it to adapt the polynomial degree for high-order discontinuous Galerkin simulations of unsteady flows. The adaptation is local and anisotropic and allows capturing rele
Externí odkaz:
http://arxiv.org/abs/2210.03523
Publikováno v:
EPTCS 357, 2022, pp. 25-37
A paraconsistent type theory (an extension of a fragment of intuitionistic type theory by adding opposite types) is here extended by adding co-function types. It is shown that, in the extended paraconsistent type system, the opposite type constructor
Externí odkaz:
http://arxiv.org/abs/2204.03882
High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved feat
Externí odkaz:
http://arxiv.org/abs/2203.10238