One important issue in the development of complex technical system is the use of rapid simulations to evaluate substructures / surrogate models for system level simulations. For safety-critical simulations, it is esse...
One important issue in the development of complex technical system is the use of rapid simulations to evaluate substructures / surrogate models for system level simulations. For safety-critical simulations, it is essential to know the error introduced by model order reduction (MOR) used to create the surrogate models to decide whether the simulation can be trusted or not. Typically, a-priori error estimates, e.g., the sum of neglected singular values in balanced truncation are used. They deliver upper bounds for the error – independently of the applied excitation. By contrast, the error estimates from the reduced basis community deliver a-posteriori error bounds, which account for the current excitation. These error bounds use the residual between the reduced and original model to derive an error bound. In this work, we review the error bounds used in elastic multibody system (EMBS) described in the floating frame of reference formulation.
In the Exa-Dune project we have developed, implemented and optimised numerical algorithms and software for the scalable solution of partial differential equations (PDEs) on future exascale systems exhibiting a heterog...
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This article proposes a so-called Quasi Time-Reversible (QTR G-Ext) scheme based on Grassmann extrapolation of density matrices for an accurate calculation of initial guesses in Born-Oppenheimer Molecular Dynamics sim...
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作者：
Cass T. MillerWilliam G. GrayChristopher E. KeesIryna V. RybakBrittany J. Shepherda Okun Distinguished Professor
Department of Environmental Sciences and Engineering University of North Carolina Chapel Hill North Carolina 27599-7431 USA b Professor
Department of Environmental Sciences and Engineering University of North Carolina Chapel Hill North Carolina 27599-7431 USA Email: graywg@*** c CSRS Distinguished Professor
Louisiana State University Baton Rouge Louisiana 70803 USA Email: cekees@lsu.edu d Research Engineer
Institute of Applied Analysis and Numerical Simulation University of Stuttgart Germany Email: rybak@ians.uni-stuttgart.de e PhD Student
Department of Mathematics University of North Carolina Chapel Hill North Carolina 27599-3250 USA Email: breizh@live.unc.edu
ABSTRACTABSTRACTThis note corrects an error made in Miller et al. (2019). Modelling sediment transport in three-phase surface water *** of Hydraulic Research,57(4), 439–463,https://***/10.1080/00221686.2019.1581...
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ABSTRACTABSTRACTThis note corrects an error made in Miller et al. (2019). Modelling sediment transport in three-phase surface water *** of Hydraulic Research,57(4), 439–463,https://***/10.1080/00221686.2019.1581673.
Flow in fractured porous media occurs in the earth’s subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive de...
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The article is devoted to the investigation of seismic responses from probable oil-bearing formations. The three-dimensional geological model of the Bazhenov formation situated at Western Siberia is constructed. It is...
The article is devoted to the investigation of seismic responses from probable oil-bearing formations. The three-dimensional geological model of the Bazhenov formation situated at Western Siberia is constructed. It is based on the elastic two-dimensional cross-section with curvilinear boundaries between different layers. For this purpose, logging and seismic data were processed jointly. To describe correctly the internal structure of mudstones the novel continuum model of media with interlayer slippage and delamination was utilized. The grid-characteristic method was used to solve numerically the govern system of the linear elasticity. The non-linearity of the model is incorporated with the appropriate explicit-implicit approximation procedure. For increasing the reliability of obtained synthetic seismograms the presence of the static rock pressure was taken into account. Reasonable computational time was achieved with the help of the parallelization based on the Message Passing Interface (MPI) technology. To analyze the structure of seismic responses wave patterns for the model with different parameters were presented. The influence of fractured layer on registered seismic traces were estimated. The proposed numerical approach may be used for simulation of complex geological objects.
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