Meshless Methods for Water Dynamics and Complex Flows

A special issue of Water (ISSN 2073-4441). This special issue belongs to the section "Hydraulics and Hydrodynamics".

Deadline for manuscript submissions: closed (28 February 2021) | Viewed by 5835

Special Issue Editors


E-Mail Website
Guest Editor
Universidade da Coruña, Spain
Interests: CFD; meshless methods; high-order methods

E-Mail Website
Guest Editor
Arts et Métiers Institute of Technology, CNAM, LIFSE, HESAM University, 75013 Paris, France
Interests: CFD; computational aeroacoustics; complex fluid flows
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Computational Fluid Dynamics (CFD) is with no doubt a fundamental tool in both science and engineering. It is ubiquitous in almost any research or design involving fluid flows. Historically, mesh-based methods have been the ones that have received the largest research efforts. However, meshless methods are a promising tool to solve some of the drawbacks of mesh-based methods. In particular, mesh generation is currently one of the most significant bottlenecks in CFD applications, since generally the mesh generation phase constitutes the dominant cost in terms of both human intervention and time. In this framework, meshless methods are specially suited for problems with large deformations of the computational domain. In the context of CFD, Smoothed Particle Hydrodynamics (SPH) is the most widely used meshless method for flow simulations. Unfortunately, this method currently presents some important drawbacks, which have been a serious barrier to its widespread use. Thus, the lack of accuracy, low convergence order, and inaccurate definition of boundary conditions are the kinds of drawbacks that the new generation of meshless methods has to overcome. This Special Issue is devoted to any development in the field of meshless methods, with special focus on SPH methods for complex fluid flow applications. Any new, original research articles involving these developments, or hybrid mesh-based and meshless methods, or engineering applications of meshless methods in complex fluid flows are welcome, as are review articles about these topics.

Dr. Xesús Nogueira
Prof. Sofiane Khelladi
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Water is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Meshless methods
  • Smoothed Particle Hydrodynamics (SPH)
  • Kernel approximations
  • Lagrangian methods
  • Complex fluid flow applications
  • Numerical methods
  • CFD

Published Papers (2 papers)

Order results
Result details
Select all
Export citation of selected articles as:

Research

18 pages, 3908 KiB  
Article
Solving Transient Groundwater Inverse Problems Using Space–Time Collocation Trefftz Method
by Cheng-Yu Ku, Li-Dan Hong and Chih-Yu Liu
Water 2020, 12(12), 3580; https://doi.org/10.3390/w12123580 - 20 Dec 2020
Cited by 6 | Viewed by 2122
Abstract
This paper presents a space–time meshfree method for solving transient inverse problems in subsurface flow. Based on the transient groundwater equation, we derived the Trefftz basis functions utilizing the method of separation of variables. Due to the basis functions completely satisfying the equation [...] Read more.
This paper presents a space–time meshfree method for solving transient inverse problems in subsurface flow. Based on the transient groundwater equation, we derived the Trefftz basis functions utilizing the method of separation of variables. Due to the basis functions completely satisfying the equation to be solved, collocation points are placed on the space–time boundaries. Numerical solutions are approximated based on the superposition theorem. Accordingly, the initial and boundary conditions are both regarded as space–time boundary conditions. Forward and inverse examples are conducted to validate the proposed approach. Emphasis is placed on the two-dimensional boundary detection problem in which the nonlinearity is solved using the fictitious time integration method. Results demonstrate that approximations with high accuracy are acquired in which the boundary data on the absent boundary may be efficiently recovered even when inaccessible partial data are provided. Full article
(This article belongs to the Special Issue Meshless Methods for Water Dynamics and Complex Flows)
Show Figures

Figure 1

37 pages, 12873 KiB  
Article
A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows
by Abdelkader Krimi, Mojtaba Jandaghian and Ahmad Shakibaeinia
Water 2020, 12(11), 3189; https://doi.org/10.3390/w12113189 - 14 Nov 2020
Cited by 19 | Viewed by 3164
Abstract
In this work, we develop an enhanced particle shifting strategy in the framework of weakly compressible δ+-SPH method. This technique can be considered as an extension of the so-called improved particle shifting technology (IPST) proposed by Wang et al. (2019). We [...] Read more.
In this work, we develop an enhanced particle shifting strategy in the framework of weakly compressible δ+-SPH method. This technique can be considered as an extension of the so-called improved particle shifting technology (IPST) proposed by Wang et al. (2019). We introduce a new parameter named ϕ to the particle shifting formulation, on the one hand to reduce the effect of truncated kernel support on the formulation near the free surface region, on the other hand, to deal with the problem of poor estimation of free surface particles. We define a simple criterion based on the estimation of particle concentration to limit the error’s accumulation in time caused by the shifting in order to achieve a long time violent free surface flows simulation. We propose also an efficient and simple concept for free surface particles detection. A validation of accuracy, stability and consistency of the presented model was shown via several challenging benchmarks. Full article
(This article belongs to the Special Issue Meshless Methods for Water Dynamics and Complex Flows)
Show Figures

Figure 1

Back to TopTop