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检索条件"机构=Fraunhofer Institute for Scientific Computing and Algorithms SCAI"

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On dark stars, galactic rotation curves and fast radio bursts 9

On dark stars, galactic rotation curves and fast radio burst...

引用

9th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2020

作者： Nikitin, Igor Fraunhofer Institute for Algorithms and Scientific Computing Schloss Birlinghoven Sankt Augustin53757 Germany

This paper is a continuation of our recent work on Radial Dark Matter stars (RDM-stars), black holes, coupled with radial flows of dark matter. As a galaxy model, it produces flat rotation curves, approximately valid for many galaxies far from the center. In this paper, more detailed modeling is carried out, including the vicinity of the galactic center. Assuming that the distribution of stellar black holes repeats the distribution of luminous matter, we get a perfect match between the model rotation curves and the observed ones. Further, using numerical integration, we examine the gravitational field of an individual RDM-star. The computation shows the event horizon being erased and rapidly increasing mass density arising instead (mass inflation). In this regime, we apply the previously constructed Planck star model, where at high densities a repulsive force occurs (quantum bounce). In our stationary model, the evolution of a Planck star has stopped under the pressure of dark matter flows. This system is considered as a possible source of Fast Radio Bursts (FRBs). In a scenario involving an asteroid falling onto an RDM-star, the model reproduces the correct frequency range of FRBs. Their total energy, coherence and short duration are explained as well. © Published under licence by IOP Publishing Ltd.

关键词： Stars

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Universal translation algorithm for formulation of transport network problems 8

Universal translation algorithm for formulation of transport...

引用

8th International Conference on Simulation and Modeling Methodologies, Technologies and Applications, SIMULTECH 2018

作者： Baldin, Anton Cassirer, Kläre Clees, Tanja Klaassen, Bernhard Nikitin, Igor Nikitina, Lialia Torgovitskaia, Inna Fraunhofer Institute for Algorithms and Scientific Computing Schloss Birlinghoven Sankt Augustin53754 Germany

ISBN: (纸本)9789897583230

The formulation of transport network problems is represented as a translation between two domain specific languages: From a network description language, used by network simulation community, to a problem description language, understood by generic non-linear solvers. A universal algorithm for this translation is developed, an estimation of its computational complexity given, and an efficient application of the algorithm demonstrated on a number of realistic examples. Typically, for a large gas transport network with about 10K elements the translation and solution of non-linear system together require less than 1 sec on the common hardware. The translation procedure incorporates several preprocessing filters, in particular, topological cleaning filters, which accelerate the solution procedure by factor 8. Copyright © 2018 by SCITEPRESS-Science and Technology Publications, Lda. All rights reserved.

关键词： Complex networks

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A globally convergent method for generalized resistive systems and its application to stationary problems in gas transport networks 6

A globally convergent method for generalized resistive syste...

引用

6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications, SIMULTECH 2016

作者： Clees, Tanja Hornung, Nils Nikitin, Igor Nikitina, Lialia Fraunhofer Institute for Algorithms and Scientific Computing Schloss Birlinghoven Sankt Augustin53754 Germany

ISBN: (纸本)9789897581991

We consider generalized resistive systems, comprising linear Kirchhoff equations and non-linear element equations, depending on the flow through the element and on two adjacent nodal variables. The derivatives of the element equation should possess a special signature. For such systems we prove the global non-degeneracy of the Jacobi matrix and the applicability of globally convergent solution tracing algorithms. We show that the stationary problems in gas transport networks belong to this generalized resistive type. We apply the tracing algorithm to several realistic networks and compare its performance with a generic Newton solver. © Copyright 2016 by SCITEPRESS - Science and Technology Publications, Lda. All rights reserved.

关键词： Linear systems

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Mathematical modeling and visualization of topologically non-trivial solutions in general relativity 9

Mathematical modeling and visualization of topologically non...

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9th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2020

作者： Nikitin, Igor Fraunhofer Institute for Algorithms and Scientific Computing Schloss Birlinghoven Sankt Augustin53757 Germany

In general relativity, there is a class of solutions that currently do not have observed analogues, but on which the theory is shaped, giving an understanding what is fundamentally possible within its framework. Such solutions include wormholes, tunnels that connect distant regions in spacetime. Although not a single wormhole has yet been discovered, there is a large number of works devoted to their study, thanks to which wormholes as a class of solutions become firmly established in modern science. In this paper, we consider two topologically nontrivial types of solutions related to wormholes. First: wormholes that can open and close. In this relation, we will discuss topological censorship theorems, which under certain conditions prohibit changing topology. We will also discuss known ways to circumvent these theorems. Using analytical and numerical methods, as well as visualization, we will construct an example of an opening and closing wormhole with the dimensions of the central black hole in the Milky Way galaxy. Our construction continues the work by Kardashev, Novikov and Shatskiy, in which a static wormhole with the same parameters was considered. The second type is a modification of Visser's dihedral wormhole solution for a dynamic case. © Published under licence by IOP Publishing Ltd.

关键词： Visualization

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On Dark Stars, Planck Cores and the Nature of Dark Matter 23

On Dark Stars, Planck Cores and the Nature of Dark Matter

引用

23rd Workshop What Comes Beyond the Standard Models

作者： Nikitin, I. Fraunhofer Institute for Algorithms and Scientific Computing Schloss Birlinghoven Sankt Augustin53757 Germany

Dark stars are compact massive objects, described by Einstein gravitational field equations with matter. The type we consider possesses no event horizon, instead, there is a deep gravitational well with a very strong redshift factor. Observationally, dark stars can be identified with black holes. Inside dark stars, Planck density of matter is reached, Planck cores are formed, where the equations are modified by quantum gravity. In the paper, several models of dark stars with Planck cores are considered, resulting in the following hypothesis on the composition of dark matter. The galaxies are flooded with low-energetic radiation from the dark stars. The particle type can be photons and gravitons from the Standard Model, can also be a new type of massless particles. The model estimations show that the extremely large redshift factor z ∼ 1049 and the emission wavelength λ0 ∼ 1014m can be reached. The particles are not registered directly in the existing dark matter experiments. They come in a density sufficient to explain the observable rotation curves. The emission has a geometric dependence of density on radius ρ ∼ r−2, producing flat rotation curves. The distribution of sources also describes the deviations from the flat shape. The model provides a good fit of experimental rotation curves. Outbreaks caused by a fall of an external object on a dark star lead to emission wavelength shifted towards smaller values. The model estimations give the outbreak wavelength λ ∼ 1m compatible with fast radio bursts. The paper raises several principal questions. White holes with Planck core appear to be stable. Galactic rotation curves in the considered setup do not depend on the matter type. Inside the galaxy, dark matter can be of hot radial type. At cosmological distances, it can behave like the cold uniform type. © 2020 DMFA zaloznistvo. All rights reserved.

关键词： Stars

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Galactic model with a phase transition from dark matter to dark energy 24

Galactic model with a phase transition from dark matter to d...

引用

24th Workshop What Comes Beyond the Standard Models

作者： Nikitin, I. Fraunhofer Institute for Algorithms and Scientific Computing Schloss Birlinghoven Sankt Augustin53757 Germany

This work continues the construction of a recently proposed model of dark matter stars. In this model, dark matter quanta are sterile massless particles that are emitted from the central regions of the galaxy in the radial direction. As a result, at large distances r from the center of the galaxy, the mass density of dark matter has the form ρ ∼ r-2, in contrast to the homogeneous model ρ = Const. In the cosmological context, the homogeneous model with massless particles corresponds to the radiation epoch of the expansion of the universe, while the proposed inhomogeneous model turns out to be equivalent to ΛCDM. In this paper, scenarios will be considered in which the radial emission of dark matter is brought into hydrostatic equilibrium with a uniform background. It is shown that solutions exist if the uniform background has an equation of state typical for dark energy. Thus, this model describes a phase transition from dark matter inside the galaxy to dark energy outside of it. The specific mechanism for such a transition could be Bose-Einstein condensation. In addition, the question of what happens if dark matter particles are not sterile, for example, are photons of the Standard Model, is considered. © 2021 DMFA zaloznistvo. All rights reserved.

关键词： Galaxies

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MYNTS: Multi-physics network simulator 6

MYNTS: Multi-physics network simulator

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6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications, SIMULTECH 2016

作者： Clees, Tanja Cassirer, Kläre Hornung, Nils Klaassen, Bernhard Nikitin, Igor Nikitina, Lialia Suter, Robin Torgovitskaia, Inna Fraunhofer Institute for Algorithms and Scientific Computing Schloss Birlinghoven Sankt Augustin53754 Germany

ISBN: (纸本)9789897581991

We present a generic approach for the simulation of transport networks, where the steps of physical modeling and numerical simulation are effectively separated. The model is described by a list of physical equations and inequalities as problem constraints for non-linear programming (NLP). This list is translated to the language of expression trees and is made accessible for the numerical solution by standard NLP solvers. Various problem types can be solved in this way, including stationary and transient network simulation, feasibility analysis and energy-saving optimization. The simulation is provided for different disciplines, such as gas transport, water supply and electric power networks. We demonstrate the implementation of this approach in our multiphysics network simulator. © Copyright 2016 by SCITEPRESS - Science and Technology Publications, Lda. All rights reserved.

关键词： Linear systems

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Fast discrete fourier transform on generalized sparse grids 1

引用

2nd Workshop on Sparse Grids and Applications, SGA 2012

作者： Griebel, Michael Hamaekers, Jan Institute for Numerical Simulation University of Bonn Wegelerstr. 6 Bonn53115 Germany Fraunhofer Institute for Algorithms and Scientific Computing SCAI Schloss Birlinghoven Sankt Augustin53754 Germany

ISBN: (数字)9783319045375

ISBN: (纸本)9783319045368

In this paper, we present an algorithm for trigonometric interpolation of multivariate functions on generalized sparse grids and study its application for the approximation of functions in periodic Sobolev spaces of dominating mixed smoothness. In particular, we derive estimates for the error and the cost. We construct interpolants with a computational cost complexity which is substantially lower than for the standard full grid case. The associated generalized sparse grid interpolants have the same approximation order as the standard full grid interpolants, provided that certain additional regularity assumptions on the considered functions are fulfilled. Numerical results validate our theoretical findings. © Springer International Publishing Switzerland 2014.

关键词： Sobolev spaces

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Multiscale simulation of ion migration for battery systems

Multiscale simulation of ion migration for battery systems

引用

21st International Materials Research Congress, IMRC 2012

作者： Neuen, Christian Griebel, Michael Hamaekers, Jan Fraunhofer Institute for Algorithms and Scientific Computing SCAI Schloss Birlinghoven 53754 Sankt Augustin Germany Institute for Numerical Simulation Bonn University Wegelerstr. 6 53115 Bonn Germany

ISBN: (纸本)9781632661258

In this paper we describe a multi-scale approach to ion migration processes, which involves a bridging from the atomic scale to the macroscopic scale. To this end, the diffusion coefficient of a material i.e. a macroscopic physical quantity, will be appropriately determined from molecular dynamics simulations on the microscale. This way, performance predictions become possible prior to material synthesis. However, standard methods produce in general wrong results for ensemble setups which correspond to battery or capacitor applications. We introduce a novel method to derive correct values also for such problems. These values are then used in a macroscopic system of partial differential equation (Poisson-Nernst-Planck system) for the numerical simulation of ion migration in a battery. © 2013 Materials Research Society.

关键词： Molecular dynamics

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High performance C++

High performance C++

引用

International Conference and Exhibition on High-Performance computing and Networking

作者： Wolf, K Holtz, A Lang, M Institute for Algorithms and Scientific Computing (SCAI) German National Research Center for Computer Science (GMD) Schloss Birlinghoven Sankt Augustin D-53754 Germany

ISBN: (纸本)3540593934

HPC++ is a object-oriented programming environment dedicated to distributed memory parallel computers. It is based on a process model and integrates various parallel programming paradigms. Modularisation, interfaces and dynamic configuration are basic features. Parallel prototypes may be encapsulated in subnets. In the context of an existing commercial CASE tool HPC++ will be used as target language for the translation from graphical design method into code. Within one year, exploitation of HPC++ will be started offering an object-oriented library on top of standard parallel runtime systems.

关键词： Object oriented programming

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