FDA Express Vol. 34, No. 3, Mar 30, 2020
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Institute of Soft Matter Mechanics, Hohai
University
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Fractional Calculus in Magnetic Resonance
Applications of Mathematics in Engineering and Economics
◆ Books
Waves with Power-Law Attenuation
◆ Journals
International Journal of Heat and Mass Transfer
Computer Methods in Applied Mechanics and Engineering
◆ Paper Highlight
Modeling Turbulent Flows in Porous Media
◆ Websites of Interest
Fractal Derivative and Operators and Their Applications
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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Neumann method for solving conformable fractional Volterra integral equations
By: Ilie, Mousa; Biazar, Jafar; Ayati, Zainab
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 54-68 Published: WIN 2020
Legendre-collocation spectral solver for variable-order fractional functional differential equations
Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
k-fractional integral inequalities of Hadamard type for (h-m)-convex functions
Impulsive initial value problems for a class of implicit fractional differential equations
A Study on Functional Fractional Integro-Differential Equations of Hammerstein type
A new method for constructing exact solutions for a time-fractional differential equation
The solving integro-differential equations of fractional order with the ultraspherical functions
New numerical method for ordinary differential equations: Newton polynomial
High order numerical schemes for solving fractional powers of elliptic operators
On generalized fractional integral inequalities for twice differentiable convex functions
Optimal attractors of the Kirchhoff wave model with structural nonlinear damping
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Call for Papers
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Fractional Calculus in Magnetic Resonance
(Special Issue in MDPI Journal, Mathematics (ISSN 2227-739))
The purpose of this Special Issue is to gather articles reflecting the latest developments of fractional calculus in the fields of nuclear magnetic resonance (NMR), electron spin resonance (ESR), and magnetic resonance imaging (MRI). Applications employing fractional calculus in the sub-disciplines of NMR/ESR spectroscopy, relaxation, diffusion, and MRI are encouraged..
Keywords:
-Fractional calculusManuscript Submission Information:
Deadline for manuscript submissions: 31 December 2020
All details on this special issue are now available at:
https://www.mdpi.com/journal/mathematics/special_issues/Fractional_Calculus_Magnetic_Resonance .
( June 7-13, 2020, Sozopol, Bulgaria)
Due to the extraordinary Coronavirus pandemic situation the AMEE’20 Conference will take place virtually. More details about the organization will be announced on the website.
The Conference will cover the following topics:
-Mathematical Analysis and ApplicationsImportant Dates:
Abstract submission: April 30, 2020
Declaration of participation: May 19, 2020
Full manuscript submission to the proceedings editor: July 15, 2020
Sending of the reviewed and revised papers to AIP: September 15, 2020
All details on this conference are now available at:
http://amee.tu-sofia.bg/.
Consulting E-mail: conference secretary amee@tu-sofia.bg , for the special session virginia@diogenes.bg
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Books
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(Authors: Sverre Holm)
Details: https://link.springer.com/book/10.1007%2F978-3-030-14927-7
Introduction
This book integrates concepts from physical acoustics with those from linear viscoelasticity and fractional linear viscoelasticity. Compressional waves and shear waves in applications such as medical ultrasound, elastography, and sediment acoustics often follow power law attenuation and dispersion laws that cannot be described with classical viscous and relaxation models. This is accompanied by temporal power laws rather than the temporal exponential responses of classical models.
The book starts by reformulating the classical models of acoustics in terms of standard models from linear elasticity. Then, non-classical loss models that follow power laws and which are expressed via convolution models and fractional derivatives are covered in depth. In addition, parallels are drawn to electromagnetic waves in complex dielectric media. The book also contains historical vignettes and important side notes about the validity of central questions. While addressed primarily to physicists and engineers working in the field of acoustics, this expert monograph will also be of interest to mathematicians, mathematical physicists, and geophysicists.
Couples fractional derivatives and power laws and gives their multiple relaxation process interpretation Investigates causes of power law attenuation and dispersion such as interaction with hierarchical models of polymer chains and non-Newtonian viscosity Shows how fractional and multiple relaxation models are inherent in the grain shearing and extended Biot descriptions of sediment acoustics Contains historical vignettes and side notes about the formulation of some of the concepts discussed
Contents:
Acoustics and Linear Viscoelasticity
–Front Matter
–Classical Wave Equations
–Models of Linear Viscoelasticity
–Absorption Mechanisms and Physical Constraints
Modeling of Power-Law Media
–Front Matter
–Power-Law Wave Equations from Constitutive Equations
–Phenomenological Power-Law Wave Equations
–Justification for Power Laws and Fractional Models
–Power Laws and Porous Media
–Power Laws and Fractal Scattering Media
–Back Matter
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Journals
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International Journal of Heat and Mass Transfer
(Selected)
Milad Mozafarifard, Davood Toghraie
Rafał Brociek, Damian Słota, Mariusz Król, Grzegorz Matula, Waldemar Kwaśny
Devendra Kumar, Jagdev Singh, Kumud Tanwar, Dumitru Baleanu
New approach to solving the atmospheric pollutant dispersion equation using fractional derivatives
Davidson Moreira, Paulo Xavier, Anderson Palmeira, Erick Nascimento
Yan Li, Pei Zhang, Chenlin Li, Tianhu He
Effect of fractional parameter on thermoelastic half-space subjected to a moving heat source
Eman M. Hussein
Jianhong Kang, Di Zhang, Fubao Zhou, Haijian Li, Tongqiang Xia
Shu-Nan Li, Bing-Yang Cao
Manzoor Hussain, Sirajul Haq
A fractional step lattice Boltzmann model for two-phase flow with large density differences
Chunhua Zhang, Zhaoli Guo, Yibao Li
Wei Xu, Yingjie Liang, Wen Chen, John H. Cushman
A power-law liquid food flowing through an uneven channel with non-uniform suction/injection
Botong Li, Yikai Yang, Xuehui Chen
Computer Methods in Applied Mechanics and Engineering
(Selected)
Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain
Kailai Xu, Eric Darve
An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials
Will Zhang, Adela Capilnasiu, Gerhard Sommer, Gerhard A. Holzapfel, David A. Nordsletten
A 3D non-orthogonal plastic damage model for concrete
Xin Zhou, Dechun Lu, Xiuli Du, Guosheng Wang, Fanping Meng
Florian Frank, Andreas Rupp, Dmitri Kuzmin
Physics driven real-time blood flow simulations
Sethuraman Sankaran, David Lesage, Rhea Tombropoulos, Nan Xiao, Hyun Jin Kim, David Spain, Michiel Schaap, Charles A.Taylor
Siwei Duo, Yanzhi Zhang
Minglang Yin, Alireza Yazdani, George Em Karniadakis
Space–time adaptive finite elements for nonlocal parabolic variational inequalities
Heiko Gimperlein, Jakub Stocek
Mohamed Tarek, Tapabrata Ray
M. L. Cerquaglia, D. Thomas, R. Boman, V. Terrapon, J. -P. Ponthot
Xiang Xie, Hui Zheng, Stijn Jonckheere, Wim Desmet
Stabilized material point methods for coupled large deformation and fluid flow in porous materials
Yidong Zhao, Jinhyun Choo
Jiamin Jiang, Hamdi A. Tchelepi
Fully Implicit multidimensional Hybrid Upwind scheme for coupled flow and transport
François P. Hamon, Bradley T. Mallison
Laura Moreno, Ramon Codina, Joan Baiges, Ernesto Castillo
Takuya Matsunaga, Axel Södersten, Kazuya Shibata, Seiichi Koshizuka
A simple non-iterative uncoupled algorithm for nonlinear pore-dynamic analyses
Delfim Soares
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Paper
Highlight
Brian D. Wood, Xiaoliang He, Sourabh V. Apte
Publication information: Annual Review of Fluid Mechanics, Vol. 52:171-203, 2020
https://doi.org/10.1146/annurev-fluid-010719-060317
Abstract
Turbulent flows in porous media occur in a wide variety of applications, from catalysis in packed beds to heat exchange in nuclear reactor vessels. In this review, we summarize the current state of the literature on methods to model such flows. We focus on a range of Reynolds numbers, covering the inertial regime through the asymptotic turbulent regime. The review emphasizes both numerical modeling and the development of averaged (spatially filtered) balances over representative volumes of media. For modeling the pore scale, we examine the recent literature on Reynolds-averaged Navier–Stokes (RANS) models, large-eddy simulation (LES) models, and direct numerical simulations (DNS). We focus on the role of DNS and discuss how spatially averaged models might be closed using data computed from DNS simulations. A Darcy–Forchheimer-type law is derived, and a prior computation of the permeability and Forchheimer coefficient is presented and compared with existing data.
Keywords
turbulence, porous media, closure, Darcy–Forchheimer law, direct numerical simulation, spatial averaging
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Farzaneh Safari, HongGuang Sun
Publication information: Engineering with Computers151, March 2020
https://doi.org/10.1007/s00366-020-00991-3
Keywords
Rayleigh–Stokes problem,
Higher-order splines,
Finite difference,
Origin intensity factors
Abstract
The improved singular boundary method (ISBM) and dual reciprocity method (DRM) are coupled to solve fractional derivative the Rayleigh–Stokes problem with nonhomogeneous term. This method is free of mesh and integration, mathematically simple, and easy to program. Also, origin intensity factors (OIFs) significant techniques in ISBM make the method as a strong meshless method. First, the time-fractional derivative term in mentioned equation is discretized; then, ISBM–DRM is utilized to solve consequent equation. It is proved the method is unconditionally stable and convergent with convergence order O ( τ 1 + α ) . In addition, numerical results confirm the accuracy and efficiency of the presented scheme.
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