Browsing Computational Mathematics (CM) by Title
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Necking in 2D incompressible polyconvex materials: theoretical framework and numerical simulations
(Quarterly Journal of Mechanics and Applied Mathematics, 20170615)We show examples of 2D incompressible isotropic homogeneous hyperelastic materials with a polyconvex storedenergy function that present necking. The construction of the storedenergy function of amaterial satisfying all ... 
New Simplified Algorithm for the Multiple Rotating Frame Approach in Computational Fluid Dynamics
(Journal of Fluids Engineering, 20170602)This paper deals with rotating effects simulation of steady flows in turbomachinery. To take into account the rotating nature of the flow, the frozen rotor approach is one of the widely used approaches. This technique, ... 
New Theory of Flight
(Journal of Mathematical Fluid Mechanics, 20160101)We present a new mathematical theory explaining the fluid mechanics of subsonic flight, which is fundamentally different from the existing boundary layercirculation theory by Prandtl–Kutta–Zhukovsky formed 100 year ago. ... 
Nonconforming curved finite element schemes for timedependent elasticacoustic coupled problems
(Journal of Computational Physics, 20160101)Highorder numerical methods for solving timedependent acousticelastic coupled problems are introduced. These methods, based on Finite Element techniques, allow for a flexible coupling between the fluid and the solid ... 
Nonlinear computations of heave motions for a generic Wave Energy Converter
(In Vittorio Bucci Alberto Marinò (Eds.), Technology and Science for the Ships of the Future, Proceedings of NAV 2018: 19th International Conference on Ship and Maritime Research, IOS Press BV, 2018)A benchmarking activity of numerical methods for analysis of Wave Energy Converters (WEC) was proposed under the Ocean Energy Systems (OES) International Energy Agency (IEA) Task 10 in 2015. The purpose of the benchmark ... 
Nonobtuse local tetrahedral refinements towards a polygonal face/interface
(Applied Mathematics Letters, 20111231)In this note we show how to generate and conformally refine nonobtuse tetrahedral meshes locally in the neighbourhood of a polygonal face or a polygonal interior interface of a threedimensional domain. The technique ... 
Normal lubrication force between spherical particles immersed in a shearthickening fluid
(Physics of Fluids, 20181207)In this work, the inverse biviscous model [Physics of Fluids 29, 103104 (2017)] is used to describe a shearthickening fluid. An analytical velocity profile in a planar Poiseuille flow is utilized to calculate an approximate ... 
A Numerical 1.5D Method for the Rapid Simulation of Geophysical Resistivity Measurements
(Geosciences, 20180614)In some geological formations, borehole resistivity measurements can be simulated using a sequence of 1D models. By considering a 1D layered media, we can reduce the dimensionality of the problem from 3D to 1.5D via a ... 
Numerical investigation of the aerodynamic performance for a wellstype turbine in a wave energy converter
(MARINE 2015  Computational Methods in Marine Engineering VI, 20151231)Ocean waves constitute an extensive energy resource, whose extraction has been the subject of intense research activity in the last three decades. Among the different variants of Wave Energy Converters, the principle of ... 
Numerical simulation of the von Kármán sodium dynamo experiment
(Journal of Fluid Mechanics, 20180903)We present hydrodynamic and magnetohydrodynamic (MHD) simulations of liquid sodium flows in the von Kármán sodium (VKS) setup. The counterrotating impellers made of soft iron that were used in the successful 2006 experiment ... 
A numerical study on the hydrodynamic impact of device slenderness and array size in wave energy farms in realistic wave climates
(Ocean Engineering, 20170710)The future of wave energy converters lies in the design and realization of farms comprising of several devices, given the level of actual power flow for the individual devices and because of several operational issues. ... 
On Adomian Based Numerical Schemes for Euler and NavierStokes Equations, and Application to Aeroacoustic Propagation
(20180312)In this thesis, an Adomian Based Scheme (ABS) for the compressible NavierStokes equations is constructed, resulting in a new multiderivative type scheme not found in the context of fluid dynamics. Moreover, this scheme ... 
On Conforming Tetrahedralisations of Prismatic Partitions
(Springer Proceedings in Mathematics and Statistics, 20131231)We present an algorithm for conform (facetoface) subdividing prismatic partitions into tetrahedra. This algorithm can be used in the finite element calculations and analysis. © Springer Science+Business Media New York 2013. 
On continuous and discrete maximum principles for elliptic problems with the third boundary condition
(Applied Mathematics and Computation, 20131231)In this work, we present and discuss some continuous and discrete maximum principles for linear elliptic problems of the second order with the third boundary condition (almost never addressed to in the available literature ... 
On global and local mesh refinements by a generalized conforming bisection algorithm
(Journal of Computational and Applied Mathematics, 20101231)We examine a generalized conforming bisection (GCB)algorithm which allows both global and local nested refinements of the triangulations without generating hanging nodes. It is based on the notion of a mesh density function ... 
On intermediatescale opensea experiments on floating offshore structures: Feasibility and application on a spar support for offshore wind turbines
(Marine Structures, 20180628)Experimental investigation of floating structures represents the most direct way for achieving their dynamic identification and it is particularly valuable for relatively new concepts, such as floating supports for offshore ... 
On modifications of continuous and discrete maximum principles for reactiondiffusion problems
(Advances in Applied Mathematics and Mechanics, 20111231)In this work, we present and discuss some modifications, in the form of twosided estimation (and also for arbitrary source functions instead of usual signconditions), of continuous and discrete maximum principles for the ... 
On nonobtuse refinements of tetrahedral finite element meshes
(Proceedings of International Conference MASCOT2012 / ISGG2012, Las Palmas, Spain, 2014, 20141231)It is known that piecewise linear continuous finite element (FE) approximations on nonobtuse tetrahedral FE meshes guarantee the validity of discrete analogues of various maximum principles for a wide class of elliptic ... 
On numerical quadrature for $C^1$ quadratic PowellSabin 6split macrotriangles
(Journal of Computational and Applied Mathematics, 20180801)The quadrature rule of Hammer and Stroud [16] for cubic polynomials has been shown to be exact for a larger space of functions, namely the $C^1$ cubic CloughTocher spline space over a macrotriangle if and only if the ... 
On numerical regularity of the facetoface longestedge bisection algorithm for tetrahedral partitions
(Science of Computer Programming, 20141231)The finite element method usually requires regular or strongly regular families of partitions in order to get guaranteed a priori or a posteriori error estimates. In this paper we examine the recently invented longestedge ...