New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits. [PDF]
Sci Rep, 2023 Montoya FG +4 more
europepmc +1 more source
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.A physics‐informed machine learning approach successfully decodes the complex catalytic activity of high‐entropy alloys for ammonia oxidation. By revealing a synergistic mechanism involving lattice and electronic couplings, the study identifies a superior “isolated‐surrounded” platinum motif.
Shangfeng Jiang +5 more
wiley +1 more source
Author Correction: New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits. [PDF]
Sci Rep, 2023 Montoya FG +4 more
europepmc +1 more source
Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley +1 more source
The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Lichnerowicz's algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex tangent vector.
Karl Hallowell, Andrew Waldron
doaj
High‐Order Projection‐Based Upwind Method for Simulation of Transitional Turbulent Flows
International Journal for Numerical Methods in Fluids, EarlyView.In this study, we evaluated the implicit large‐eddy simulation capabilities of the mass‐conserving mixed stress method for transitional turbulent flows and proposed an efficient solution method for large‐scale applications. The results presented in this work show promising outcomes for incompressible aerodynamic flow problems, which can be further ...
Philip L. Lederer +2 more
wiley +1 more source
A signature invariant geometric algebra framework for spacetime physics and its applications in relativistic dynamics of a massive particle and gyroscopic precession. [PDF]
Sci Rep, 2022 Wu B.
europepmc +1 more source
Heat Transfer, EarlyView.ABSTRACT Several engineering problems involve the need to model conjugate heat transfer processes considering the temperature‐dependence of the material properties. Consequently, a simulation tool capable of modeling this process is of great interest. In this context, the present work proposes a thermal lattice Boltzmann method (TLBM) for modeling the ...
Julia Akiko Sassa +2 more
wiley +1 more source
Geometric Error Modeling of 3-DOF Planar Parallel Manipulators Using Conformal Geometric Algebra
MachinesThis paper proposes a geometrically intuitive error modeling method for planar parallel mechanisms (PPMs) based on conformal geometric algebra (CGA). First, the end point of each limb is determined through rotational transformations in geometric algebra.
Huijing Yao, Chenxin Tang, Xinxue Chai
doaj +1 more source
Correction: Gill, R.D. Does Geometric Algebra Provide a Loophole to Bell's Theorem? Entropy 2020, 22, 61. [PDF]
Entropy (Basel), 2021 Gill RD.
europepmc +1 more source