Results 1 to 10 of about 37,597 (261)
Tractography in Curvilinear Coordinates [PDF]
Frontiers in Neuroscience, 2021 Coordinate invariance of physical laws is central in physics, it grants us the freedom to express observations in coordinate systems that provide computational convenience.
Uzair Hussain +6 more
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Multiinstantons in curvilinear coordinates [PDF]
Nuclear Physics B - Proceedings Supplements, 1999 The 'tHooft's 5N-parametric multiinstanton solution is generalized to curvilinear coordinates. Expressions can be simplified by a gauge transformation that makes $\eta$-symbols constant in the vierbein formalism.
't Hooft +11 more
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Solution of the mixed boundary problem for the Poisson equation on two-dimensional irregular domains
Informatika, 2023 Objectives. A finite-difference computational algorithm is proposed for solving a mixed boundary-value problem for the Poisson equation given in two-dimensional irregular domains.Methods. To solve the problem, generalized curvilinear coordinates are used.
M. M. Chuiko, O. M. Korolyova
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Fluid Dynamics in Curvilinear Coordinates without Fictitious Forces
Fluids, 2021 The use of curvilinear coordinates is sometimes indicated by the inherent geometry of a fluid dynamics problem, but this introduces fictitious forces into the momentum equations that spoil the strict conservative form.
Christian Y. Cardall
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Volumetric Lattice Boltzmann Models in General Curvilinear Coordinates: Theoretical Formulation
Frontiers in Applied Mathematics and Statistics, 2021 A theoretical formulation of lattice Boltzmann models on a general curvilinear coordinate system is presented. It is based on a volumetric representation so that mass and momentum are exactly conserved as in the conventional lattice Boltzmann on a ...
Hudong Chen
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Field theory in normal conical coordinates [PDF]
E3S Web of Conferences, 2021 In the scientific literature, the field theory is most fully covered in the cylindrical and spherical coordinate systems. This is explained by the fact that the mathematical apparatus of these systems is most well studied.
Nesnov Dmitry
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Derivation of entropy production in a fluid flow in a general curvilinear coordinate system
Acta Polytechnica, 2023 The paper deals with the derivation of the entropy production in the fluid flow performed in a general curvilinear coordinate system. The derivation of the entropy production is based on the thermodynamics laws as well as on the balances of mass ...
Erik Flídr
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Expression of strain tensor in orthogonal curvilinear coordinates
Geodesy and Geodynamics, 2010 Based on an analysis of connotation and extension of the concept of the orthogonal curvilinear coordinates, we have deduced a platform of strain tensor expression of Cartesian coordinates, which turns out to be a function of Lame coefficient and unit ...
Xuyan Liu, Yingfeng Ji, Quanqiang Liang
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Polypolar coordination and symmetries [PDF]
Компьютерные исследования и моделирование, 2010 The polypolar system of coordinates is formed by a family of a parametrized on a radius isofocal of kf-lemniscates. As well as the classical polar system of coordinates, it characterizes a point of a plane by a polypolar radius and polypolar angle . For
Tatyana Anatol'evna Rakcheeva
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SoftwareX, 2022 Krypton is an open-source framework to solve the linear and non-linear Parabolized Stability Equations (PSE) on a curvilinear coordinate system as a predictive tool to estimate the laminar-to-turbulent transition at transonic conditions.
Francis Lacombe, Jean-Pierre Hickey
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