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High-order methods offer superior dispersion and dissipation properties compared to low-order schemes but require robust stabilization for discontinuities. To ensure stability, local artificial viscosity is common, but often degrades…

Numerical Analysis · Mathematics 2026-05-01 Anna Schwarz , Jens Keim , Christian Rohde , Andrea Beck

We propose a finite difference scheme to simulate solutions to a certain type of hyperbolic stochastic partial differential equation (HSPDE). These solutions can in turn estimate so called volatility modulated Volterra (VMV) processes and…

Statistics Theory · Mathematics 2016-02-10 Fred Espen Benth , Heidar Eyjolfsson

We present an implicit, fully-coupled hydro-mechanical solver for the three dimensional simulation of fluid-driven rupture propagation along existing discontinuities. The solver handles simultaneously frictional slip (shear failure) and…

In this work we extended an energy-integrated neutrino transport method to facilitate efficient, yet precise, modeling of compact astrophysical objects. We particularly focus on core-collapse supernovae. We implemented a gray…

High Energy Astrophysical Phenomena · Physics 2024-07-03 Haakon Andresen , Evan P. O'Connor , Oliver Eggenberger Andersen , Sean M. Couch

We present a novel second-order semi-implicit hybrid finite volume / finite element (FV/FE) scheme for the numerical solution of the incompressible and weakly compressible Navier-Stokes equations on moving unstructured meshes using an…

Numerical Analysis · Mathematics 2023-01-24 Saray Busto , Michael Dumbser , Laura Río-Martín

Electromagnetic multipole responses are key inputs to model the structure, decay and reaction of atomic nuclei. With the introduction of the finite amplitude method (FAM), large-scale calculations of the nuclear linear response in heavy…

Nuclear Theory · Physics 2024-09-23 Tong Li , Nicolas Schunck , Mike Grosskopf

We present an efficient hybrid Neural Network-Finite Element Method (NN-FEM) for solving the viscous-plastic (VP) sea-ice model. The VP model is widely used in climate simulations to represent large-scale sea-ice dynamics. However, the…

Numerical Analysis · Mathematics 2025-12-11 Nils Margenberg , Carolin Mehlmann

We present a novel method for fluid structure interaction (FSI) simulations where an original 2nd-order curved space lattice Boltzmann fluid solver (LBM) is coupled to a finite element method (FEM) for thin shells. The LBM can work…

Transport calculations for neutronic design require accurate nuclear data and validated computational tools. In the Spallation Physics Group, at the European Spallation Source, we perform shielding and neutron beam calculations to help the…

Instrumentation and Detectors · Physics 2021-03-11 Jose Ignacio Marquez Damian , Douglas D. DiJulio , Günter Muhrer

Extreme mechanical processes such as strong lattice distortion and bond breakage during fracture are ubiquitous in nature and engineering, which often lead to catastrophic failure of structures. However, understanding the nucleation and…

Materials Science · Physics 2024-07-23 Pengjie Shi , Zhiping Xu

This dissertation deals with theoretical descriptions of nuclear fission and synthesis of superheavy elements via fusion. The associated shape evolutions are treated using a random-walk approach where both the potential energy and the…

Nuclear Theory · Physics 2022-07-12 M. Albertsson

We present here a new hybrid scheme that combines a discontinuous Galerkin (DG) method with compact finite volume (FV) and finite difference (FD) methods. The computational mesh is divided into smaller elements that touch but do not…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Ananya Adhikari , Wolfgang Tichy , Liwei Ji , Amit Poudel

We introduce a new Eulerian simulation framework for liquid animation that leverages both finite element and finite volume methods. In contrast to previous methods where the whole simulation domain is discretized either using the finite…

Graphics · Computer Science 2023-01-18 Tatsuya Koike , Shigeo Morishima , Ryoichi Ando

We present a spherically symmetric, Newtonian core-collapse simulation of a 15 solar mass star with a 1.28 solar mass iron core. The time-, energy-, and angle-dependent transport of electron neutrinos and antineutrinos was treated with a…

Astrophysics · Physics 2009-10-31 M. Rampp , H. -Th. Janka

A novel fully atomistic multiscale classical approach to model the optical response of solvated real-size plasmonic nanoparticles (NPs) is presented. The model is based on the coupling of the Frequency Dependent Fluctuating Charges and…

Mesoscale and Nanoscale Physics · Physics 2024-07-04 Luca Nicoli , Sveva Sodomaco , Piero Lafiosca , Tommaso Giovannini , Chiara Cappelli

Kinetic simulations based on the Eulerian Hybrid Vlasov-Maxwell (HVM) formalism permit the examination of plasma turbulence with useful resolution of the proton velocity distribution function (VDF). The HVM model is employed here to study…

Plasma Physics · Physics 2019-07-15 O. Pezzi , Y. Yang , F. Valentini , S. Servidio , A. Chasapis , W. H. Matthaeus , P. Veltri

We investigate a hybrid numerical algorithm aimed at the large-scale cosmological N-body simulation for the on-going and the future high precious sky surveys. It makes use of a truncated Fast Multiple Method (FMM) for short-range gravity,…

Computational Physics · Physics 2021-01-13 Qiao Wang

We present the NuclearConfectionery, a modular framework for simulating the full dynamical evolution of relativistic heavy-ion collisions. Its core hydrodynamic module, CCAKE 2.0, represents a major advance over previous SPH-based…

We adapt a troubled-cell indicator from discontinuous Galerkin (DG) methods to finite volume methods (FVM) with MUSCL reconstruction and using a novel monotonicity parameter show there is a trade-off between convergence and quality of the…

Numerical Analysis · Mathematics 2025-05-26 R Shivananda Rao , M Ramakrishna

In this work, we consider the general family of the so called ADER PNPM schemes for the numerical solution of hyperbolic partial differential equations with \textit{arbitrary} high order of accuracy in space and time. The family of one-step…

Numerical Analysis · Mathematics 2020-10-13 Elena Gaburro , Michael Dumbser
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