Results 11 to 20 of about 276,305 (263)
A framework for multi-scale modelling [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014 We review a methodology to design, implement and execute multi-scale and multi-science numerical simulations. We identify important ingredients of multi-scale modelling and give a precise definition of them. Our framework assumes that a multi-scale model can be formulated in terms of a collection of coupled single-scale submodels. With concepts such as
Chopard, B. +2 more
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A Multi-Scale Model for Cholera Outbreaks
Mathematics, 2022 Cholera, caused by the pathogenic Vibrio cholerae bacteria, remains a severe public health threat. Although a lot of emphasis has been placed on the population-level spread of the disease, the infection itself starts within the body. As such, we formulated a multi-scale model that explicitly connects the within-host and between-host dynamics of the ...
Beryl Musundi +2 more
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Data Assimilation in a Multi-Scale Model [PDF]
Mathematics of Climate and Weather Forecasting, 2017 AbstractData assimilation for multi-scale models is an important contemporary research topic. Especially the role of unresolved scales and model error in data assimilation needs to be systematically addressed. Here we examine these issues using the Ensemble Kalman filter (EnKF) with the two-level Lorenz-96 model as a conceptual prototype model of the ...
Hu, Guannan, Franzke, Christian L. E.
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Analysis of Smoluchowski’s Coagulation Equation with Injection
Crystals, 2022 The stationary solution of Smoluchowski’s coagulation equation with injection is found analytically with different exponentially decaying source terms. The latter involve a factor in the form of a power law function that plays a decisive role in forming ...
Eugenya V. Makoveeva +2 more
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The role of incoming flow on crystallization of undercooled liquids with a two-phase layer
Scientific Reports, 2022 Motivated by important applications of crystallization phenomena, we consider a directional solidification process for a binary melt with a two-phase (mushy) layer in the presence of weak melt flow.
Dmitri V. Alexandrov, Liubov V. Toropova
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Effect of Mask Geometry Variation on Plasma Etching Profiles
Micromachines, 2023 It is becoming quite evident that, when it comes to the further scaling of advanced node transistors, increasing the flash memory storage capacity, and enabling the on-chip integration of multiple functionalities, “there’s plenty of room at the top”. The
Josip Bobinac +8 more
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Journal of Applied Physiology, 2011 Multi-scale modeling of biological systems has recently become fashionable due to the growing power of digital computers as well as to the growing realization that integrative systems behavior is as important to life as is the genome. While it is true that the behavior of a living organism must ultimately be traceable to all its components and their ...
Merryn H, Tawhai, Jason H T, Bates
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Dynamical law of the phase interface motion in the presence of crystals nucleation
Scientific Reports, 2022 In this paper, we develop a theory of solid/liquid phase interface motion into an undercooled melt in the presence of nucleation and growth of crystals. A set of integrodifferential kinetic, heat and mass transfer equations is analytically solved in the ...
Liubov V. Toropova, Dmitri V. Alexandrov
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Crystals, 2022 In this paper, an analytical method of solving the integro-differential system of kinetic and balance equations describing the evolution of an ensemble of crystals during the intermediate phase of the bulk crystallization process is described. The theory
Liubov V. Toropova +5 more
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A Stable Mode of Dendritic Growth in Cases of Conductive and Convective Heat and Mass Transfer
Crystals, 2022 In this paper, we develop a theory of stable dendritic growth in undercooled melts in the presence of conductive and convective heat and mass transfer boundary conditions at the solid/liquid interface of a dendrite.
Liubov V. Toropova +2 more
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