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
Engineering Graphics in Geometric Algebra
, 2010 We illustrate the suitability of geometric algebra for representing structures and developing algorithms in computer graphics, especially for engineering applications. A number of example applications are reviewed.
Alyn Rockwood +3 more
core +1 more source
Influence of Structural and Environmental Parameters on Solar Air Collector Performance
Energy Science &Engineering, EarlyView.Increasing air gap depth and mass flow rate significantly enhances the thermal performance of solar air collectors, with optimal performance achieved at an 8.5 cm air gap and 0.01318 kg/s mass flow rate. Air gap depth is identified as the dominant factor influencing system efficiency.
Quankun Zhu +2 more
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
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
International Journal for Numerical Methods in Fluids, EarlyView.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
wiley +1 more source
Subspace Acceleration for Efficient Nonlinear Water Wave Simulation
International Journal for Numerical Methods in Fluids, EarlyView.We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen +3 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
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
International Journal for Numerical Methods in Fluids, EarlyView.Employing the moving least‐squares aided finite element method (MLS‐FEM) allows detailed thermal analysis in complex porous structures, such as polymeric foams, where the conductive heat transfer mechanism governs in the solid matrix and the convective mechanism dominates within the gas‐filled voids.
Mehdi Mostafaiyan +2 more
wiley +1 more source