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Published in 2017 at "International journal for numerical methods in biomedical engineering"
DOI: 10.1002/cnm.2837
Abstract: In this study, the 1D blood flow equations are solved using a newly proposed enhanced trapezoidal rule method (ETM), which is an extension to the simplified trapezoidal rule method. At vessel junctions, the conservation of…
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Keywords:
etm scheme;
network;
implicit solver;
arterial network ... See more keywords
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Published in 2022 at "International Journal for Numerical Methods in Biomedical Engineering"
DOI: 10.1002/cnm.3670
Abstract: We present a simple, yet efficient adaptive time stepping scheme for cardiac electrophysiology (EP) simulations based on standard operator splitting techniques. The general idea is to exploit the relation between the splitting error and the…
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Keywords:
time;
operator splitting;
adaptive time;
time step ... See more keywords
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Published in 2020 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6583
Abstract: Finite elements with Allman's rotations provide good computational efficiency for explicit codes exhibiting less locking than linear elements and lower computational cost than quadratic finite elements. One way to further raise their efficiency is to…
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Keywords:
elements allman;
time step;
reciprocal mass;
finite elements ... See more keywords
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Published in 2020 at "Calcolo"
DOI: 10.1007/s10092-020-00393-3
Abstract: For backward differentiation formulae (BDF) applied to gradient flows of semiconvex functions, quadratic stability implies the existence of a Lyapunov functional. We compute the maximum time step which can be derived from quadratic stability for…
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Keywords:
applied gradient;
step;
bdf3 scheme;
gradient flows ... See more keywords
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Published in 2017 at "Cluster Computing"
DOI: 10.1007/s10586-017-1250-4
Abstract: This paper proposes an optimal evaluation of time step size for numerical computations based on the 180 numerical simulations of the two-dimensional unsteady flow at low Reynolds number around a circular cylinder. A proper time…
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Keywords:
optimal evaluation;
size;
step size;
time step ... See more keywords
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Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0636-6
Abstract: Studying the dynamics of runaway electrons has theoretical and practical significance. As the system is highly relativistic, multi-scale and nonlinear, accurate and efficient numerical methods with long-term stability are necessary. In this paper, we develop…
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Keywords:
electron dynamics;
runaway electron;
step;
adaptive time ... See more keywords
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Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.02.043
Abstract: Abstract In this work, a Large Time Step (LTS) explicit finite volume scheme designed to allow CFL > 1 is applied to the numerical resolution of 2D scalar and systems of conservation laws on triangular…
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Keywords:
scheme;
conservation laws;
time step;
large time ... See more keywords
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Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.06.023
Abstract: Abstract In this paper, a multiple-grid-time-step model was developed for lattice Boltzmann (LB) simulations when combined transport equations need to be solved, so that the time step and grid size can be selected independently for…
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Keywords:
transport;
time;
grid time;
time step ... See more keywords
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Published in 2017 at "Catena"
DOI: 10.1016/j.catena.2017.05.013
Abstract: Abstract Soil infiltration, an important component of hillslope hydrology, is widely measured with ring infiltrometers. In the numerical algorithms used for soil infiltration measurement, the time step length (STL) for reading water level and positioning…
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Keywords:
time step;
infiltration;
infiltration rate;
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Published in 2018 at "Chemical Engineering Research and Design"
DOI: 10.1016/j.cherd.2018.04.046
Abstract: Abstract The event-driven acceptance rejection (AR) method is a computationally very advantageous Monte Carlo (MC) simulation technique for the solution of population balance equations (PBE) of coagulating systems. In the scope of the event-driven simulation…
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Keywords:
monte carlo;
time;
simulation time;
method ... See more keywords
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Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.04.003
Abstract: Abstract The explicit central-difference time integration scheme is widely used in discrete methods. However, restrictions on the size of the time step apply. We revisit the problem of a network of particles with translational and…
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Keywords:
time;
central difference;
discrete methods;
time step ... See more keywords