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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
doaj +5 more sources
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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An Exactly Energy-conserving Electromagnetic Particle-in-cell Method in Curvilinear Coordinates [PDF]
The Astrophysical Journal Supplement SeriesIn this paper, we introduce and discuss an exactly energy-conserving particle-in-cell method for arbitrary curvilinear coordinates. The flexibility provided by curvilinear coordinates enables the study of plasmas in complex-shaped domains by aligning the
J. Croonen +3 more
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Accelerating CFD simulation with high order finite difference method on curvilinear coordinates for modern GPU clusters [PDF]
Advances in Aerodynamics, 2022 A high fidelity flow simulation for complex geometries for high Reynolds number (Re) flow is still very challenging, requiring a more powerful HPC system.
Chuang-Chao Ye +4 more
doaj +4 more sources
Fluid Dynamics in Curvilinear Coordinates without Fictitious Forces [PDF]
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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Formulations of the 3+1 evolution equations in curvilinear coordinates [PDF]
, 2002 Following Brown, in this paper we give an overview of how to modify standard hyperbolic formulations of the 3+1 evolution equations of General Relativity in such a way that all auxiliary quantities are true tensors, thus allowing for these formulations ...
Alcubierre, Miguel, Mendez, Martha D.
core +8 more sources
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
doaj +2 more sources
Semina: Ciências Exatas e Tecnológicas, 2021 Through mathematical models, it is possible to turn a problem of the physical domain to the computational domain. In this context, the paper presents a two-dimensional mesh generator in generalized coordinates, which uses the parametric linear spline ...
Gustavo Taiji Naozuka +4 more
doaj +3 more sources
Fifth order finite volume WENO in general orthogonally-curvilinear coordinates [PDF]
, 2018 High order reconstruction in the finite volume (FV) approach is achieved by a more fundamental form of the fifth order WENO reconstruction in the framework of orthogonally-curvilinear coordinates, for solving the hyperbolic conservation equations.
Balsara, Dinshaw +3 more
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Factorization of supersymmetric Hamiltonians in curvilinear coordinates [PDF]
, 2012 Planar supersymmetric quantum mechanical systems with separable spectral problem in curvilinear coordinates are analyzed in full generality. We explicitly construct the supersymmetric extension of the Euler/Pauli Hamiltonian describing the motion of a ...
Alonso Izquierdo A +7 more
core +4 more sources