Browsing Computational Mathematics (CM) by Title
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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 initialization of milling paths for 5axis flank CNC machining of freeform surfaces with general milling tools
(Computer Aided Geometric Design (CAGD, Elsevier), 20190327)We propose a pathplanning algorithm for 5axis flank CNC machining with general tools of varying curvature. Our approach generalizes the initialization strategy introduced for conical tools [Bo et al., 2017] to arbitrary ... 
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 ... 
On the application of isogeometric finite volume method in numerical analysis of wetsteam flow through turbine cascades
(Computers and Mathematics with Applications, 201910)The isogeometric finite volume analysis is utilized in this research to numerically simulate the twodimensional viscous wetsteam flow between stationary cascades of a steam turbine for the first time. In this approach, ... 
On the maximum angle condition for the conforming longestedge nsection algorithm for large values of n
(Computer Aided Geometric Design, 20151231)In this note we introduce the conforming longestedge $n$section algorithm and show that for $n \ge 4$ it produces a family of triangulations which does not satisfy the maximum angle condition. 
On the regularization of the collision solutions of the onecenter problem with weak forces
(Discrete and Continuous Dynamical Systems, 20111231)We study the possible regularization of collision solutions for one centre problems with a weak singularity. In the case of logarithmic singularities, we consider the method of regularization via smoothing of the potential. ... 
Onedimensional chaos in a system with dry friction: analytical approach
(Meccanica, 20151231)We introduce a new analytical method, which allows to find chaotic regimes in nonsmooth dynamical systems. A simple mechanical system consisting of a mass and a dry friction element is considered. The corresponding ... 
Optimal quadrature rules for odddegree spline spaces and their application to tensorproductbased isogeometric analysis
(Computer Methods in Applied Mechanics and Engineering, 20160101)We introduce optimal quadrature rules for spline spaces that are frequently used in Galerkin discretizations to build mass and stiffness matrices. Using the homotopy continuation concept (Barton and Calo, 2016) that ... 
Optimally refined isogeometric analysis
(Procedia Computer Science, 201706)Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple ...