Computational Mathematics (CM)
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Generalized plane offsets and rational parameterizations
(20230421)In the first part of the paper a planar generalization of offset curves is introduced and some properties are derived. In particular, it is seen that these curves exhibit good regularity properties and a study on ... 
The role of the particle aspect ratio in the discharge of a narrow silo
(20221001)The time evolution of silo discharge is investigated for different granular materials made of spherical or elongated grains in laboratory experiments and with discrete element model (DEM) calculations. For spherical grains, ... 
Exploiting Kronecker structure in exponential integrators: Fast approximation of the action of phifunctions of matrices via quadrature
(20230204)In this article, we propose an algorithm for approximating the action of $\varphi$functions of matrices against vectors, which is a key operation in exponential time integrators. In particular, we consider matrices with ... 
Combining DPG in space with DPG timemarching scheme for the transient advection–reaction equation
(20221201)In this article, we present a general methodology to combine the Discontinuous PetrovGalerkin (DPG) method in space and time in the context of methods of lines for transient advectionreaction problems. We rst introduce ... 
The complex viscosity of Möbius macromolecules
(20200901)Using general rigid beadrod theory, we explore the effect of twisting a macromolecule on its rheological properties in suspensions. We thus focus on macromolecules having the form of Möbius bands so that the number of ... 
Tribological variablefriction coefficient models for the simulation of dense suspensions of rough polydisperse particles
(20230301)The rheology of concentrated suspensions of particles is complex and typically exhibits a shearthickening behavior in the case of repulsive interactions. Despite the recent interest arisen, the causes of the shearthickening ... 
An explicit characterization of isochordalviewed multihedgehogs with circular isoptics
(20230210)A curve α is called (ϕ, ℓ)isochordal viewed if a straight segment of constant length ℓ can slide with its endpoints on α and such that their tangents to α at these endpoints make a constant angle ϕ. These tangents determine ... 
Screw rotor manufacturing via 5axis flank CNC machining using conical tools
(202212)We propose a new method for 5axis flank computer numerically controlled (CNC) machining of screw rotors using conical tools. The flanks of screw rotors consist of helical surfaces, which predetermines the motion of the ... 
A painless multilevel automatic goaloriented hpadaptive coarsening strategy for elliptic and nonelliptic problems
(20221101)This work extends an automatic energynorm $hp$adaptive strategy based on performing quasioptimal unrefinements to the case of nonelliptic problems and goaloriented adaptivity. The proposed approach employs a multilevel ... 
Impact of H2/CH4 blends on the flexibility of micromix burners applied to industrial combustion systems
(20230501)The present paper investigates the feasibility of using H2/CH4 fuel blends in micromixtype burners applied to industrial combustion systems. The micromix burner concept, characterised by the formation of miniaturised and ... 
Nonaffine motion and selection of slip coefficient in constitutive modeling of polymeric solutions using a mixed derivative
(20230101)Constitutive models for the dynamics of polymer solutions traditionally rely on closure relations for the extra stress or related microstructural variables (e.g., conformation tensor) linking them to flow history. In this ... 
SPH simulations of thixoviscoplastic fluid flow past a cylinder
(20221001)Thixotropic materials are complex fluids that display timedependent viscosity and/or yieldstress response upon the application of a fixed deformation, while recovering their original structuredstate when the deformation ... 
Mesoscopic simulations of inertial drag enhancement and polymer migration in viscoelastic solutions flowing around a confined array of cylinders
(20220701)We study the flow around a periodic array of cylinders using a mesoscopic viscoelastic fluid that mimics polymeric solutions. We model our fluid employing a novel mesoscopic method based on Smoothed Dissipative Particle ... 
A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks
(20230215)Residual minimization is a widely used technique for solving Partial Differential Equations in variational form. It minimizes the dual norm of the residual, which naturally yields a saddlepoint (min–max) problem over the ... 
Limited Visual Range in the Social Force Model: Effects on Macroscopic and Microscopic Dynamics
(20230115)The Social Force Model has been widely used to simulate pedestrian dynamics. Its simplicity and ability to reproduce some collective patterns of behavior make it an adequate tool in the field of pedestrian dynamics. However, ... 
Deep Learning for Inverting Borehole Resistivity Measurements
(20221125)There exist multiple traditional methods to solve inverse problems, mainly, gradientbased or statisticsbased methods. However, these methods have severe limitations. In particular, they often need to compute the forward ... 
A numerical method for suspensions of articulated bodies in viscous flows
(20220901)An articulated body is defined as a finite number of rigid bodies connected by a set of arbitrary constraints that limit the relative motion between pairs of bodies. Such a general definition encompasses a wide variety of ... 
Aeroacoustic Analysis of a Subsonic Jet using the Discontinuous Galerkin Method
(2022)In this work, the opensource spectral/hp element framework Nektar++ (www.nektar.info) is coupled with the Antares library (www.cerfacs.fr/antares/) to predict noise from a subsonic jet. Nektar++ uses the highorder ... 
Zindlertype hypersurfaces in R^4
(20220908)In this paper the definition of Zindlertype hypersurfaces is introduced in $\mathbb{R}^4$ as a generalization of planar Zindler curves. After recalling some properties of planar Zindler curves, it is shown that Zindler ... 
The DPG Method for the ConvectionReaction Problem, Revisited
(20220101)We study both conforming and nonconforming versions of the practical DPG method for the convectionreaction problem. We determine that the most common approach for DPG stability analysis  construction of a local Fortin ...