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Phase field simulation of early-age fracture in cement-based materials
2019
International Journal of Solids and Structures
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In this paper, a new computational approach, which is based on a multi-physics coupling of the chemo-thermo-mechanical process, is developed for modeling failure mechanism in cement-based materials at ...
A strongly coupled model describing the interaction between fracture and multi-physics problems of cement hydration is obtained. ...
The evolution of temperature at an investigated position in the solid domain for different mesh size. The influences of the mesh refinement on the thermal problem are very small. ...
doi:10.1016/j.ijsolstr.2019.12.003
fatcat:sphmuc2tajgphd522pnlxhffwu
Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials
2019
Computer Methods in Applied Mechanics and Engineering
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We additionally describe a stable and robust numerical algorithm, which aims to solve coupled problems by using a staggered scheme. ...
Fracture analysis of these processes is then accommodated by a versatile phase field model in the framework of smeared crack models, addressing the influence of cracks on hydration and thermal transfer ...
Acknowledgments The support this work enjoys from SeRaMCo project (Secondary Raw Materials for Concrete Precast Products), through the transnational cooperation projects in North-West Europe (Interreg ...
doi:10.1016/j.cma.2019.01.012
fatcat:wfjuqydvp5cyfc42ghpwln7uje
Modelling of stellar convection
2017
Living Reviews in Computational Astrophysics
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An important recent development is the treatment of even the low Mach number problem without prior modification of the basic equation (obviating side effects) by specifically designed numerical methods ...
The review considers the modelling process for stellar convection rather than specific astrophysical results. For achieving reasonable depth and length we deal with hydrodynamics only, omitting MHD. ...
Zaussinger for performing parts of these numerical simulations with the ANTARES code. We furthermore are grateful to Dr. R. Baldauf, Dr. O. Koch, and Dr. N. Stadlmajer for discussions. ...
doi:10.1007/s41115-017-0001-9
pmid:30652122
pmcid:PMC6319542
fatcat:luyjhgqip5eo7fv4zku2ty5n3u
Numerical Stabilization of the Melt Front for Laser Beam Cutting
[chapter]
2010
Numerical Mathematics and Advanced Applications 2009
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We present computational studies of the given problem. ...
Numerical experiments will be done for simple linear problems, the Burger's equation, and for the Euler equations with high Mach numbers. 24 This contribution deals with the modeling of soft biological ...
For transient DCR problems, the stabilization improves the solution for the case of reaction or convection dominance, but the improvement is not that pronounced as in the steady problems. ...
doi:10.1007/978-3-642-11795-4_6
fatcat:nx4nvuxaxfbcdjknopny53ck5e
Meshless techniques for anisotropic diffusion
2014
Applied Mathematics and Computation
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The latter would allow better use of parallel computers, since time-stepping is essentially a serial process. Moreover, it would be good for the methods to be of high order accuracy. ...
., the simulation of geologic carbon sequestration. ...
We show how to solve the equations using a global implicit approach in an efficient way, and we present the derived computational results. ...
doi:10.1016/j.amc.2014.03.032
fatcat:c527226gyfgbffnq4p67qxd7wi
Mathematical Models of Incompressible Fluids as Singular Limits of Complete Fluid Systems
2010
Milan Journal of Mathematics
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We discuss the problem in the framework of global-in-time solutions for both the primitive and the target system. ...
A rigorous justification of several well-known mathematical models of incompressible fluid flows can be given in terms of singular limits of the scaled Navier-Stokes-Fourier system, where some of the characteristic ...
The ambiguous inequality sign in the entropy balance (3. 3) becomes equality in the incompressible limit, even if the equation may be scaled by 1/ε. ...
doi:10.1007/s00032-010-0128-1
fatcat:ulwcbfu6hvavnj7nc6xhakgipy
A hybrid discontinuous Galerkin method for tokamak edge plasma simulations in global realistic geometry
2018
Journal of Computational Physics
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., A hybrid discontinuous Galerkin method for tokamak edge plasma simulations in global realistic geometry, J. Comput. Phys. (2018), https://doi. ...
This work was supported by the Energy oriented Centre of Excellence (EoCoE), grant agreement number 676629, funded within the Horizon2020 framework of the European Union. ...
Acknowledgements This work was granted access to the HPC resources of IDRIS under the allocation i2017056912 and i20170242 made by GENCI, and of Aix-Marseille University, financed by the project (ANR-10 ...
doi:10.1016/j.jcp.2018.07.028
fatcat:xcbr4aci6ndjbbzib3vjix2eem
Computational fluid dynamics capability for the solid-fuel ramjet projectile
1990
Journal of Propulsion and Power
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("Expansion shocks" are shock waves which do not -,atisfy the entropy inequality). ...
The TVD formulation for the convection terms (the hyperbolic part of the time-dependent Navier-Stokes equations), along with a special treatment of the diffusion terms, provides an appropriate simulation ...
(Comment on purpose, related project, or other area of interest for which the report will be used.) 2. How, specifically, is the report being used? ...
doi:10.2514/3.25428
fatcat:2n6bk7lo35ai5mx7jee3zdka74
OnsagerNet: Learning Stable and Interpretable Dynamics using a Generalized Onsager Principle
[article]
2021
arXiv
pre-print
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For high dimensional problems with a low dimensional slow manifold, an autoencoder with metric preserving regularization is introduced to find the low dimensional generalized coordinates on which we learn ...
We further apply this method to study Rayleigh-Benard convection and learn Lorenz-like low dimensional autonomous reduced order models that capture both qualitative and quantitative properties of the underlying ...
convection problem. ...
arXiv:2009.02327v3
fatcat:uaoe475xcreyphbgjtsocu2pii
A Review of Mathematical and Computational Methods in Cancer Dynamics
[article]
2022
arXiv
pre-print
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To conclude, the perspective cultivates an intuition for computational systems oncology in terms of nonlinear dynamics, information theory, inverse problems and complexity. ...
We highlight the limitations we see in the area of statistical machine learning but the opportunity at combining it with the symbolic computational power offered by the mathematical tools explored. ...
Jacek Majewski of McGill University, for the knowledge he granted on glioma epigenetics and computational epigenetic modelling. ...
arXiv:2201.02055v5
fatcat:hxhvnvagcbdeldwsb3zet3wavu
Multiobjective Design Optimization Using Nash Games
[chapter]
2014
Computational Intelligence in Aerospace Sciences
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holds : and if, for at least one criterion, the inequality is strict. ...
The first front is made of all the design-points dominated by no other; the second, the front of those dominated by no other in the remaining set; etc. ...
Périaux, as methods particularly well-suited for decentralized computation by decomposition methods such as domain partitioning via optimal control formulations. ...
doi:10.2514/5.9781624102714.0583.0642
fatcat:uir6cdgbknc7nfdz5fzvo6safa
Flow control: new challenges for a new Renaissance
2001
Progress in Aerospace Sciences
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These techniques hold great promise for several applications in #uid mechanics, including the delay of transition and the regulation of turbulence. ...
In this spirit, this paper surveys a few recent attempts at bridging the gaps between the several scienti"c disciplines comprising the "eld of #ow control, in an attempt to clarify the author's perspective ...
We also thank the AFOSR, NSF, and DARPA for the foresight to sponsor several of these investigations. This article is dedicated to the memory of Prof. ...
doi:10.1016/s0376-0421(00)00016-6
fatcat:qmbmbakfcbdrfce7kymhpttley
Linearized form of implicit TVD schemes for the multidimensional Euler and Navier-Stokes equations
1986
Computers and Mathematics with Applications
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Numerical experiments with the proposed algorithms on a variety of steady-state airfoil problems illustrate the versatility of the schemes. ...
For steady-state applications, the only difference in computation is that the current schemes require a more elaborate dissipation term for the explicit operator: no extra computation is required for the ...
The permission to use his well-documented computer code "ARC2D'" as a base code for the development of a research code for the present stud,,' is gratefully acknowledged. ...
doi:10.1016/0898-1221(86)90172-0
fatcat:embnavlkarcwpbwqm7x4n4svl4
LINEARIZED FORM OF IMPLICIT TVD SCHEMES FOR THE MULTIDIMENSIONAL EULER AND NAVIER-STOKES EQUATIONS
[chapter]
1986
Hyperbolic Partial Differential Equations
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Numerical experiments with the proposed algorithms on a variety of steady-state airfoil problems illustrate the versatility of the schemes. ...
For steady-state applications, the only difference in computation is that the current schemes require a more elaborate dissipation term for the explicit operator: no extra computation is required for the ...
The permission to use his well-documented computer code "ARC2D'" as a base code for the development of a research code for the present stud,,' is gratefully acknowledged. ...
doi:10.1016/b978-0-08-034313-6.50008-0
fatcat:65ussx5flzd27hb3sm5rei2jpu
PLUTO: A Numerical Code for Computational Astrophysics
2007
Astrophysical Journal Supplement Series
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We present a new numerical code, PLUTO, for the solution of hypersonic flows in 1, 2 and 3 spatial dimensions and different systems of coordinates. ...
reconstruction followed by the solution of Riemann problems at zone interfaces and a final evolution stage. ...
Plewa and all the people at the FLASH center at the University of Chicago for their helpful suggestions and discussions during the early development of the code. ...
doi:10.1086/513316
fatcat:3zv3m7pav5brhefxa266vlxl4u
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