We present a new version of conservative ADER-WENO finite volume schemes, in which both the high order spatial reconstruction as well as the time evolution of the reconstruction polynomials in the local space-time predictor stage are performed in primitive variables, rather than in conserved ones. To obtain a conservative method, the underlying finite volume scheme is still written in terms of ...

s of presentations E. F. Toro Mathematical modelling, numerical simulation and high-order ADER schemes In this lecture I review some basic concepts regarding the mathematical modelling of processes in physics and other disciplines and their numerical simulation. There follows a discussion on the issue of high-order of accuracy of numerical methods, its misconceptions and eventual justification....

three granitoid bodies, shirkuh batholith, kaffe abad and ader bolandan are exposed in nw yazd, cutting across the naiband formation (upper triassic), and overlain by cretaceous formations. shirkuh batholith is most likely of jurassic age. it seems to be the first and the most significant episode of magmatism in studied area which occurred in middle jurassic (late cimmerian) time. on the other ...

This paper deals with the construction of high-order ADER numerical schemes for solving the one-dimensional shallow water equations with variable bed elevation. The non-linear version of the schemes is based on ENO reconstructions. The governing equations are expressed in terms of total water height, instead of total water depth, and discharge. The ENO polynomial interpolation procedure is also...

To increase the numerical accuracy in solving engineering problems, either conventional methods on a fine grid or methods with a high order of accuracy on a coarse grid can be used. In the present research, the second approach is utilized and the arbitrary high order Discontinues Galerkin Arbitrary DERivative (DG-ADER) method is applied to analyze the transient isothermal flow of natural gas th...

Identifying rigorous and relevant research methods has for a long time been a challenge in IS research. This is amplified in developing countries, where understanding the context is key. This paper presents an Action Design Research based approach, incorporating ethnography, which aims to provide a more authentic and relevant analysis. The Action Design Ethnographic Research (ADER) method is il...

Seismic simulations in realistic 3D Earth models require petaor even exascale computing power to capture small-scale features of high relevance for scientific and industrial applications. In this paper, we present optimizations of SeisSol – a seismic wave propagation solver based on the Arbitrary high-order accurate DERivative Discontinuous Galerkin (ADER-DG) method on fully adaptive, unstructu...