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Mathematical and Computational Applications, Volume 28, Issue 2

2023 April - 35 articles

Cover Story: Computational models are limited by the physics scope they resolve and our ability to resolve computational complexity. Multiphysics schemes aim to balance these competing constraints. The application of GPU hardware for scientific computing enables a new paradigm that relaxes computational complexity, allowing for more flexibility in model design. Meshless methods trade the mesh notion for operators over point-wise elements. The GPU enables us to resolve the increased complexity via parallel computing. The implementational simplicity enabled by operators acting over point-wise elements enables additional physics to be incorporated with ease. In our work, we exploit these benefits to explore the complex multiphase interactions of the coalescence and breakup of liquid droplets. View this paper
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Articles (35)

  • Article
  • Open Access
5 Citations
6,340 Views
23 Pages

Physics-Informed Neural Networks (PINNs) are a new class of machine learning algorithms that are capable of accurately solving complex partial differential equations (PDEs) without training data. By introducing a new methodology for fluid simulation,...

  • Review
  • Open Access
20 Citations
7,875 Views
19 Pages

An Overview of the Vision-Based Human Action Recognition Field

  • Fernando Camarena,
  • Miguel Gonzalez-Mendoza,
  • Leonardo Chang and
  • Ricardo Cuevas-Ascencio

Artificial intelligence’s rapid advancement has enabled various applications, including intelligent video surveillance systems, assisted living, and human–computer interaction. These applications often require one core task: video-based h...

  • Article
  • Open Access
6 Citations
2,869 Views
14 Pages

The application of direct-current plasma arc furnace technology to the problem of coal gasification is investigated using computational multiphysics models of the plasma arc inside such units. An integrated modelling workflow for the study of DC plas...

  • Article
  • Open Access
4 Citations
2,731 Views
13 Pages

A Parallel Solver for FSI Problems with Fictitious Domain Approach

  • Daniele Boffi,
  • Fabio Credali,
  • Lucia Gastaldi and
  • Simone Scacchi

We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier–Stokes equations, while...

  • Article
  • Open Access
9 Citations
3,013 Views
14 Pages

Guided wave ultrasound (GWU) systems have been widely used for monitoring structures such as rails, pipelines, and plates. In railway tracks, the monitoring process involves the complicated propagation of waves over several hundred meters. The propag...

  • Article
  • Open Access
2 Citations
2,572 Views
15 Pages

Spatio-Temporal Gradient Enhanced Surrogate Modeling Strategies

  • Johann M. Bouwer,
  • Daniel N. Wilke and
  • Schalk Kok

This research compares the performance of space-time surrogate models (STSMs) and network surrogate models (NSMs). Specifically, when the system response varies over time (or pseudo-time), the surrogates must predict the system response. A surrogate...

  • Article
  • Open Access
3 Citations
3,065 Views
13 Pages

In this paper, we propose two Maple procedures and some related utilities to determine the maximum curvature of a cubic Bézier-spline curve that interpolates an ordered set of points in R2 or R3. The procedures are designed from closed-form fo...

  • Article
  • Open Access
2 Citations
2,581 Views
20 Pages

Fourier Image Analysis of Multiphase Interfaces to Quantify Primary Atomization

  • Johannes C. Joubert,
  • Daniel N. Wilke and
  • Patrick Pizette

This work describes a post-processing scheme for multiphase flow systems to characterize primary atomization. The scheme relies on the 2D fast Fourier transform (FFT) to separate the inherently multi-scale features present in the flow results. Emphas...

  • Article
  • Open Access
9 Citations
4,220 Views
18 Pages

Applicability of Extreme Vertices Design in the Compositional Optimization of 3D-Printed Lightweight High-Entropy-Alloy/B4C/ZrO2/Titanium Trihybrid Aero-Composite

  • Abayomi Adewale Akinwande,
  • Dimitry Moskovskikh,
  • Elena Romanovskaia,
  • Oluwatosin Abiodun Balogun,
  • J. Pradeep Kumar and
  • Valentin Romanovski

Recent studies have shown the benefits of utilizing ceramic particles as reinforcement in metal alloys; nevertheless, certain drawbacks, including loss of ductility, embrittlement, and decreases in toughness, have been noted. For the objective of obt...

  • Article
  • Open Access
6 Citations
3,221 Views
17 Pages

Generative Design of Soft Robot Actuators Using ESP

  • Martin Philip Venter and
  • Izak Johannes Joubert

Soft robotics is an emerging field that leverages the compliant nature of materials to control shape and behaviour. However, designing soft robots presents a challenge, as they do not have discrete points of articulation and instead articulate throug...

  • Feature Paper
  • Article
  • Open Access
5 Citations
4,832 Views
17 Pages

Physics-informed neural networks (PINNs) were developed to overcome the limitations associated with the acquisition of large training data sets that are commonly encountered when using purely data-driven machine learning methods. This paper proposes...

  • Article
  • Open Access
2 Citations
3,176 Views
22 Pages

A Generalized Finite Difference Scheme for Multiphase Flow

  • Johannes C. Joubert,
  • Daniel N. Wilke and
  • Patrick Pizette

This paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating multiphase flow. The method includes a dampening scheme that allows for large density ratio cases to be simulated. Two verification studie...

  • Article
  • Open Access
3 Citations
3,144 Views
14 Pages

Hydrocyclones are devices used in numerous areas of the chemical, food, and mineral industries to separate fine particles. A hydrocyclone with a diameter of d50 mm was modeled using the commercial Simcenter STAR-CCM+13 computational fluid dynamics (C...

  • Article
  • Open Access
3 Citations
2,221 Views
17 Pages

We propose a new optimal iterative scheme without memory free from derivatives for solving non-linear equations. There are many iterative schemes existing in the literature which either diverge or fail to work when f(x)=0. However, our propose...

  • Article
  • Open Access
2 Citations
3,226 Views
12 Pages

A Hierarchical Design Framework for the Design of Soft Robots

  • Philip Frederik Ligthart and
  • Martin Philip Venter

This paper demonstrates the effectiveness of a hierarchical design framework in developing environment-specific behaviour for fluid-actuated soft robots. Our proposed framework employs multi-step optimisation and reduced-order modelling to reduce the...

  • Article
  • Open Access
6 Citations
3,106 Views
19 Pages

An Analysis of Numerical Homogenisation Methods Applied on Corrugated Paperboard

  • Rhoda Ngira Aduke,
  • Martin P. Venter and
  • Corné J. Coetzee

Corrugated paperboard is a sandwich structure composed of wavy paper (fluting) bonded between two flat paper sheets (liners). The analysis of an entire package using three-dimensional numerical finite element models is computationally expensive due t...

  • Article
  • Open Access
3,790 Views
20 Pages

In this paper, a new one-parameter class of fixed point iterative method is proposed to approximate the fixed points of contractive type mappings. The presence of an arbitrary parameter in the proposed family increases its interval of convergence. Fu...

  • Article
  • Open Access
3 Citations
3,040 Views
13 Pages

Diagnosis of faults in a rotor system operating in a fluid is a complex task in the field of rotating machinery. In an ideal scenario, a forced shutdown due to rotor-stator contact failure would necessitate the replacement of the rotor or stator. How...

  • Article
  • Open Access
3,626 Views
17 Pages

Metallurgical processes are characterized by a complex interplay of heat and mass transfer, momentum transfer, and reaction kinetics, and these interactions play a crucial role in reactor performance. Integrating chemistry and transport results in st...

  • Article
  • Open Access
6 Citations
4,537 Views
15 Pages

Numerical Modeling of Cavitation Rates and Noise Acoustics of Marine Propellers

  • Kwanda Mercury Dlamini,
  • Vuyo Terrence Hashe and
  • Thokozani Justin Kunene

The study numerically investigated the noise dissipation, cavitation, output power, and energy produced by marine propellers. A Ffowcs Williams–Hawkings (FW–H) model was used to determine the effects of three different marine propellers w...

  • Article
  • Open Access
6 Citations
3,873 Views
19 Pages

Traumatic dental injuries (TDI) are frequent among individuals of all ages, with a prevalence ranging from 12–22%, with crown and crown–root fractures being the most common. Fragment reattachment using light-cured nanocomposites is the re...

  • Article
  • Open Access
3 Citations
2,980 Views
18 Pages

When performing a digital image correlation (DIC) measurement, multi-camera stereo-DIC is generally preferred over single-camera 2D-DIC. Unlike 2D-DIC, stereo-DIC is able to minimise the in-plane strain error that results from out-of-plane motion. Th...

  • Article
  • Open Access
1 Citations
2,756 Views
14 Pages

Regression models in which the response variable has a compound distribution have applications in actuarial science. For example, the aggregate claim amount in a vehicle insurance portfolio can be modeled using a compound Poisson distribution. In thi...

  • Article
  • Open Access
8 Citations
3,258 Views
21 Pages

Performance Analysis of Multi-Objective Simulated Annealing Based on Decomposition

  • Manuel Vargas-Martínez,
  • Nelson Rangel-Valdez,
  • Eduardo Fernández,
  • Claudia Gómez-Santillán and
  • María Lucila Morales-Rodríguez

Simulated annealing is a metaheuristic that balances exploration and exploitation to solve global optimization problems. However, to deal with multi- and many-objective optimization problems, this balance needs to be improved due to diverse factors s...

  • Article
  • Open Access
1 Citations
1,901 Views
12 Pages

Building information systems use topological tables to implement the transition from two-dimensional line drawings of the geometry of buildings to digital three-dimensional models of linear complexes. The topological elements of the complex are named...

  • Communication
  • Open Access
9 Citations
4,441 Views
15 Pages

Estimation of the Equivalent Circuit Parameters in Transformers Using Evolutionary Algorithms

  • Hector Ascencion-Mestiza,
  • Serguei Maximov,
  • Efrén Mezura-Montes,
  • Juan Carlos Olivares-Galvan,
  • Rodrigo Ocon-Valdez and
  • Rafael Escarela-Perez

The conventional methods of parameter estimation in transformers, such as the open-circuit and short-circuit tests, are not always available, especially when the transformer is already in operation and its disconnection is impossible. Therefore, alte...

  • Article
  • Open Access
2,481 Views
15 Pages

Comprehensive Analysis of Learning Cases in an Autonomous Navigation Task for the Evolution of General Controllers

  • Enrique Naredo,
  • Candelaria Sansores,
  • Flaviano Godinez,
  • Francisco López,
  • Paulo Urbano,
  • Leonardo Trujillo and
  • Conor Ryan

Robotics technology has made significant advancements in various fields in industry and society. It is clear how robotics has transformed manufacturing processes and increased productivity. Additionally, navigation robotics has also been impacted by...

  • Editorial
  • Open Access
9 Citations
3,112 Views
10 Pages

Kalyanmoy Deb was born in Udaipur, Tripura, the smallest state of India at the time, in 1963 [...]

  • Article
  • Open Access
8 Citations
3,671 Views
23 Pages

To rigorously evaluate the health of a steel bridge subjected to vehicle-induced fatigue, both a detailed numerical model and effective fatigue analysis methods are needed. In this paper, the process for establishing the structural health monitoring...

  • Article
  • Open Access
3 Citations
4,670 Views
18 Pages

This study critically evaluates a recent machine learning method called the X-Learner, that aims to estimate treatment effects by predicting counterfactual quantities. It uses information from the treated group to predict counterfactuals for the cont...

  • Article
  • Open Access
3 Citations
1,812 Views
16 Pages

This paper is concerned with the problem of static output feedback control for a class of continuous-time nonlinear time-delay semi-Markov jump systems with incremental quadratic constraints. For a class of time-delay semi-Markov jump systems satisfy...

  • Article
  • Open Access
6 Citations
2,666 Views
11 Pages

Hybrid Harmony Search Optimization Algorithm for Continuous Functions

  • José Alfredo Brambila-Hernández,
  • Miguel Ángel García-Morales,
  • Héctor Joaquín Fraire-Huacuja,
  • Eduardo Villegas-Huerta and
  • Armando Becerra-del-Ángel

This paper proposes a hybrid harmony search algorithm that incorporates a method of reinitializing harmonies memory using a particle swarm optimization algorithm with an improved opposition-based learning method (IOBL) to solve continuous optimizatio...

  • Article
  • Open Access
6 Citations
2,625 Views
11 Pages

A Multiplicative Calculus Approach to Solve Applied Nonlinear Models

  • Gurjeet Singh,
  • Sonia Bhalla and
  • Ramandeep Behl

Problems such as population growth, continuous stirred tank reactor (CSTR), and ideal gas have been studied over the last four decades in the fields of medical science, engineering, and applied science, respectively. Some of the main motivations were...

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Math. Comput. Appl. - ISSN 2297-8747