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Dynamics, Volume 4, Issue 1

March 2024 - 11 articles

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Articles (11)

  • Article
  • Open Access
1 Citations
1,483 Views
16 Pages

Iterated Crank–Nicolson Method for Peridynamic Models

  • Jinjie Liu,
  • Samuel Appiah-Adjei and
  • Moysey Brio

15 March 2024

In this paper, we explore the iterated Crank–Nicolson (ICN) algorithm for the one-dimensional peridynamic model. The peridynamic equation of motion is an integro-differential equation that governs structural deformations such as fractures. The...

  • Article
  • Open Access
1 Citations
1,802 Views
22 Pages

8 March 2024

This paper presents an innovative entanglement-based protocol to address the Dining Cryptographers problem, utilizing maximally entangled |GHZn⟩ tuples as its core. This protocol aims to provide scalability in terms of both the number of crypt...

  • Article
  • Open Access
1 Citations
3,448 Views
13 Pages

22 February 2024

Two neural networks were trained to predict, respectively, the Euler characteristic and the curvature of nuclear pastas in neutron star crust conditions generated by molecular dynamics simulations of neutron star matter with 0.1 < x < 0.5, 0.04...

  • Article
  • Open Access
3 Citations
3,743 Views
22 Pages

11 February 2024

An approach based on the OpenFOAM library has been developed to solve a high-speed, multicomponent mixture of a reacting, compressible flow. This work presents comprehensive validation of the newly developed solver, called compressibleCentralReacting...

  • Article
  • Open Access
6 Citations
3,432 Views
16 Pages

8 February 2024

Reservoir computing (RC) systems can efficiently forecast chaotic time series using the nonlinear dynamical properties of an artificial neural network of random connections. The versatility of RC systems has motivated further research on both hardwar...

  • Article
  • Open Access
7 Citations
2,457 Views
22 Pages

1 February 2024

The development and deployment of the next generation of wind energy systems calls for simulation tools that model the entire wind farm while balancing accuracy and computational cost. A full-system wind farm simulation must consider the atmospheric...

  • Article
  • Open Access
1,242 Views
16 Pages

18 January 2024

We derive a new system of integrable derivative non-linear Schrödinger equations with an L operator, quadratic in the spectral parameter with coefficients belonging to the Kac–Moody algebra A2(1). The construction of the fundamental analyt...

  • Article
  • Open Access
2 Citations
1,565 Views
24 Pages

10 January 2024

The possibility of a shock wave recovery at a discrete closed interface with a heated gas has been investigated. A two-dimensional model applied to conditions of optical discharges featuring spherical, elliptical, and drop-like configurations demonst...

  • Article
  • Open Access
5 Citations
2,105 Views
17 Pages

4 January 2024

The long-term, large-scale behavior in a problem of stochastic nonlinear dynamics corresponding to the Abelian sandpile model is studied with the use of the quantum-field theory renormalization group approach. We prove the multiplicative renormalizat...

  • Article
  • Open Access
3,276 Views
26 Pages

3 January 2024

In this work, the explicit boundary-condition-enforced immersed boundary method (EIBM) and the lattice Boltzmann flux solver (LBFS) are integrated into OpenFOAM to efficiently solve incompressible flows with complex geometries and moving boundaries....

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Dynamics - ISSN 2673-8716