Results 71 to 80 of about 19,580 (197)

Localized Threats: How Ground Conductivity Shapes the Geoelectric Response

Space Weather, Volume 24, Issue 3, March 2026.
Abstract Geomagnetic storms can induce strong geoelectric fields in the ground. These fields drive geomagnetically induced currents in technological conductor systems, such as power grids. In this study, we analyze 4‐hr periods of two such major geomagnetic storms: the Halloween storm (29–31 October 2003) and the 7–8 September 2017 storm.
M. Kellinsalmi, E. Marshalko, L. Juusola, A. Viljanen   +3 more
wiley   +1 more source

A Path-Conservative ADER Discontinuous Galerkin Method for Non-Conservative Hyperbolic Systems: Applications to Shallow Water Equations

Mathematics
In this article, we propose a new path-conservative discontinuous Galerkin (DG) method to solve non-conservative hyperbolic partial differential equations (PDEs).
Xiaoxu Zhao, Baining Wang, Gang Li, Shouguo Qian   +3 more
doaj   +1 more source

A space-time discontinuous Galerkin finite element method for two-fluid problems [PDF]

, 2007
A space-time discontinuous Galerkin finite element method for two fluid flow problems is presented. By using a combination of level set and cut-cell methods the interface between two fluids is tracked in space-time. The movement of the interface in space-
Bokhove, O., Sollie, W.E.H., Vegt, J.J.W. van der   +2 more
core   +1 more source

Adjoint-Based Error Estimation and Mesh Adaptation for Hybridized Discontinuous Galerkin Methods

, 2013
We present a robust and efficient target-based mesh adaptation methodology, building on hybridized discontinuous Galerkin schemes for (nonlinear) convection-diffusion problems, including the compressible Euler and Navier-Stokes equations.
May, Georg, Schütz, Jochen, Woopen, Michael   +2 more
core   +1 more source

Numerical Approximation of a PDE‐Constrained Optimization Problem that Appears in Data‐Driven Computational Mechanics

International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
ABSTRACT We investigate an optimization problem that arises when working within the paradigm of Data‐Driven Computational Mechanics. In the context of the diffusion‐reaction problem, such an optimization problem seeks the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The
Pedro B. Bazon, Cristian G. Gebhardt, Gustavo C. Buscaglia, Roberto F. Ausas   +3 more
wiley   +1 more source

A Jacobian‐Free Newton‐Krylov Method for Cell‐Centred Finite Volume Solid Mechanics

International Journal for Numerical Methods in Engineering, Volume 127, Issue 3, 15 February 2026.
ABSTRACT This study proposes a Jacobian‐free Newton‐Krylov approach for finite‐volume solid mechanics. Traditional Newton‐based approaches require explicit Jacobian matrix formation and storage, which can be computationally expensive and memory‐intensive.
Philip Cardiff, Dylan Armfield, Željko Tuković, Ivan Batistić   +3 more
wiley   +1 more source

Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves

International Journal for Numerical Methods in Fluids, Volume 98, Issue 2, Page 159-173, February 2026.
This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

A matrix-free high-order discontinuous Galerkin compressible Navier-Stokes solver: A performance comparison of compressible and incompressible formulations for turbulent incompressible flows

, 2018
Both compressible and incompressible Navier-Stokes solvers can be used and are used to solve incompressible turbulent flow problems. In the compressible case, the Mach number is then considered as a solver parameter that is set to a small value, $\mathrm{
Arndt, Arnold, Bassi, Beck, Beck, Brown, Cantwell, Carton de Wiart, Carton de Wiart, Chapelier, Del Alamo, Fehn, Fehn, Fehn, Fernandez, Fischer, Flad, Flad, Franciolini, Gassner, Guermond, Hager, Hartmann, Hesthaven, Hillewaert, Hindenlang, Joshi, Karniadakis, Kennedy, Kirby, Kopriva, Krank, Krank, Kronbichler, Kronbichler, Kronbichler, Kronbichler, Kubatko, Mengaldo, Moser, Moura, Orszag, Pazner, Steinmoeller, Taylor, Toulorge, Uranga, Vos, Wang   +48 more
core   +1 more source

Non‐Linear Reduced Order Modelling of Transonic Potential Flows for Fast Aerodynamic Analysis

International Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.
ABSTRACT This work presents a physics‐based reduced order modelling (ROM) framework for the efficient simulation of steady transonic potential flows around aerodynamic configurations. The approach leverages proper orthogonal decomposition and a least‐squares Petrov‐Galerkin (LSPG) projection to construct intrusive ROMs for the full potential equation ...
M. Zuñiga, S. Ares de Parga, R. Zorrilla, R. Rossi   +3 more
wiley   +1 more source

A Cut Discontinuous Galerkin Method for Coupled Bulk-Surface Problems

, 2017
We develop a cut Discontinuous Galerkin method (cutDGM) for a diffusion-reaction equation in a bulk domain which is coupled to a corresponding equation on the boundary of the bulk domain. The bulk domain is embedded into a structured, unfitted background
Massing, Andre
core   +1 more source