Benchmark problems for numerical treatment of backflow at open boundaries.
Sign Up to like & getrecommendations! Published in 2018 at "International journal for numerical methods in biomedical engineering"
DOI: 10.1002/cnm.2918
Abstract: In computational fluid dynamics, incoming velocity at open boundaries, or backflow, often yields unphysical instabilities already for moderate Reynolds numbers. Several treatments to overcome these backflow instabilities have been proposed in the literature. However, these… read more here.
Keywords: benchmark problems; problems numerical; numerical treatment; treatment backflow ... See more keywords
Phase field benchmark problems targeting fluid flow and electrochemistry
Sign Up to like & getrecommendations! Published in 2020 at "Computational Materials Science"
DOI: 10.1016/j.commatsci.2020.109548
Abstract: Abstract In this work, we continue our development of phase field model benchmark problems with the addition of a third set, complimenting our previously developed problems for diffusion, precipitation, dendritic growth and linear elasticity. These… read more here.
Keywords: benchmark problems; phase field; electrochemistry;
Phase field benchmark problems for nucleation
Sign Up to like & getrecommendations! Published in 2021 at "Computational Materials Science"
DOI: 10.1016/j.commatsci.2021.110371
Abstract: Abstract We present nucleation phase field model benchmark problems, expanding on our previous benchmark problems on diffusion, precipitation, dendritic growth, linear elasticity, fluid flow and electrochemistry. Nucleation is the process in which either a new… read more here.
Keywords: benchmark problems; nucleation; benchmark; phase field ... See more keywords
Benchmark problems for dynamic modeling of intracellular processes
Sign Up to like & getrecommendations! Published in 2019 at "Bioinformatics"
DOI: 10.1093/bioinformatics/btz020
Abstract: Abstract Motivation Dynamic models are used in systems biology to study and understand cellular processes like gene regulation or signal transduction. Frequently, ordinary differential equation (ODE) models are used to model the time and dose… read more here.
Keywords: benchmark problems; intracellular processes; problems dynamic; dynamic modeling ... See more keywords
Benchmark problems for Caputo fractional-order ordinary differential equations
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DOI: 10.1515/fca-2017-0068
Abstract: Abstract There are many numerical algorithms for solving the fractional-order ordinary differential equations (FODEs). They are usually very different in nature, and it is difficult to compare their performances. To solve this problem, a set… read more here.
Keywords: ordinary differential; benchmark problems; fractional order; order ordinary ... See more keywords
Benchmark Problems of Hyper-Elasticity Analysis in Evaluation of FEM
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DOI: 10.3390/ma13040885
Abstract: The paper proposes benchmark problems on exact solutions of hyper-elastic analysis, which can be used to evaluate analysis capabilities of rubber-like materials provided by a finite element program or other approximate solution methods. Special attention… read more here.
Keywords: benchmark problems; hyper elasticity; analysis; analysis evaluation ... See more keywords