A stable and accurate control-volume technique based on integrated radial basis function networks for fluid-flow problems

Radial basis function networks (RBFNs) have been widely used in solving partial differential equations as they are able to provide fast convergence. Integrated RBFNs have the ability to avoid the problem of reduced convergence-rate caused by differentiation. This paper is concerned with the use of integrated RBFNs in the context of control-volume discretisations for the simulation of fluid-flow problems. Special attention is given to (i) the development of a stable high-order upwind scheme for the convection term and (ii) the development of a local high-order approximation scheme for the diffusion term. Benchmark problems including the lid-driven triangular-cavity flow are employed to validate the present technique. Accurate results at high values of the Reynolds number are obtained using relatively-coarse grids

On the relation between the L-integral and the Bueckner work-conjugate integral

A simple but inherent relation between the L-integral and the Bueckner work conjugate integral is deduced for crack problem in isotropic, anisotropic, and dissimilar materials, respectively. It is proved the L-integral, from the mathematical point of view as well as in principle, is arising from the Betti's reciprocal theorem

Fractional Calculus and the Future of Science

Newton foresaw the limitations of geometry’s description of planetary behavior and developed fluxions (differentials) as the new language for celestial mechanics and as the way to implement his laws of mechanics. Two hundred years later Mandelbrot introduced the notion of fractals into the scientific lexicon of geometry, dynamics, and statistics and in so doing suggested ways to see beyond the limitations of Newton’s laws. Mandelbrot’s mathematical essays suggest how fractals may lead to the understanding of turbulence, viscoelasticity, and ultimately to end of dominance of the Newton’s macroscopic world view.Fractional Calculus and the Future of Science examines the nexus of these two game-changing contributions to our scientific understanding of the world. It addresses how non-integer differential equations replace Newton’s laws to describe the many guises of complexity, most of which lay beyond Newton’s experience, and many had even eluded Mandelbrot’s powerful intuition. The book’s authors look behind the mathematics and examine what must be true about a phenomenon’s behavior to justify the replacement of an integer-order with a noninteger-order (fractional) derivative. This window into the future of specific science disciplines using the fractional calculus lens suggests how what is seen entails a difference in scientific thinking and understanding

Proceedings of the 39th International Workshop on Water Waves and Floating Bodies

The International Workshop on Water Waves and Floating Bodies (IWWWFB) is anannual meeting of engineers and scientists with a particular emphasis on waterwaves and their effects on floating and fixed marine structures. The Workshop wasinitiated by Professor D. V. Evans (University of Bristol) and Professor J. N. Newman(MIT) following informal meetings between their research groups in 1984. Firstintended to promote communication between researchers in the UK and the USA,the interest and participation quickly spread to include researchers from many othercountries around the world.The Workshop enhances the basic and applied scientific knowledge on water wavesand their interaction with floating and fixed bodies with various applications andfacilitates the advancement and transfer of knowledge between research groupsacross the globe, and between senior and early career researchers. The workshopproceedings are freely accessible through the dedicated internet addresswww.iwwwfb.org where all contributions from 1986 on can be found.Individual papers from the 2024 conference can be found on the IWWWFB website here: http://www.iwwwfb.org/Workshops/39.htm 

Proceedings of the 39th International Workshop on Water Waves and Floating Bodies

The International Workshop on Water Waves and Floating Bodies (IWWWFB) is anannual meeting of engineers and scientists with a particular emphasis on waterwaves and their effects on floating and fixed marine structures. The Workshop wasinitiated by Professor D. V. Evans (University of Bristol) and Professor J. N. Newman(MIT) following informal meetings between their research groups in 1984. Firstintended to promote communication between researchers in the UK and the USA,the interest and participation quickly spread to include researchers from many othercountries around the world.The Workshop enhances the basic and applied scientific knowledge on water wavesand their interaction with floating and fixed bodies with various applications andfacilitates the advancement and transfer of knowledge between research groupsacross the globe, and between senior and early career researchers. The workshopproceedings are freely accessible through the dedicated internet addresswww.iwwwfb.org where all contributions from 1986 on can be found.Individual papers from the 2024 conference can be found on the IWWWFB website here: http://www.iwwwfb.org/Workshops/39.htm 

Predicting and auralizing acoustics in classrooms

Although classrooms have fairly simple geometries, this type of room is known to cause problems when trying to predict their acoustics using room acoustics computer modeling. Some typical features from a room acoustics point of view are: Parallel walls, low ceilings (the rooms are flat), uneven distribution of absorption, and most of the floor being covered with furniture which at long distances act as scattering elements, and at short distance provide strong specular components. The importance of diffraction and scattering is illustrated in numbers and by means of auralization, using ODEON 8 Beta

Microfluidics Expanding the Frontiers of Microbial Ecology

Microfluidics has significantly contributed to the expansion of the frontiers of microbial ecology over the past decade by allowing researchers to observe the behaviors of microbes in highly controlled microenvironments, across scales from a single cell to mixed communities. Spatially and temporally varying distributions of organisms and chemical cues that mimic natural microbial habitats can now be established by exploiting physics at the micrometer scale and by incorporating structures with specific geometries and materials. In this article, we review applications of microfluidics that have resulted in insightful discoveries on fundamental aspects of microbial life, ranging from growth and sensing to cell-cell interactions and population dynamics. We anticipate that this flexible multidisciplinary technology will continue to facilitate discoveries regarding the ecology of microorganisms and help uncover strategies to control microbial processes such as biofilm formation and antibiotic resistance.National Science Foundation (U.S.) (Grant OCE-0744641-CAREER)National Science Foundation (U.S.) (Grant IOS-1120200)National Science Foundation (U.S.) (Grant CBET-1066566)National Science Foundation (U.S.) (Grant CBET-0966000)National Institutes of Health (U.S.) (NIH grant 1R01GM100473-0)Human Frontier Science Program (Strasbourg, France)Human Frontier Science Program (Strasbourg, France) (award RGY0089)Gordon and Betty Moore Foundation (Microbial Initiative Investigator Award