Forcing scheme analysis for the axisymmetric lattice Boltzmann method under incompressible limit by Zhang, Liangqi, Yang, Shiliang, Zeng, Zhong, Chen, Jie, Yin, Linmao, Chew, Jia Wei

“…Because the standard lattice Boltzmann (LB) method is proposed for Cartesian Navier-Stokes (NS) equations, additional source terms are necessary in the axisymmetric LB method for representing the axisymmetric effects. …”
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An electrokinetically tunable optofluidic bi-concave lens by Li, Haiwang, Song, Chaolong, Luong, Trung-Dung, Nguyen, Nam-Trung, Wong, Teck Neng

“…The governing equations are solved by a finite volume method on a Cartesian fixed staggered grid. The evolution of the interface was captured by the level set method. …”
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Effect of the Presence of Semi-circular Cylinders on Heat Transfer From Heat Sources Placed in Two Dimensional Channel by Ahmed W. Mustava

“…The laminar flow field is analyzed numerically by solving the steady forms of the two-dimensional incompressible Navier- Stokes and energy equations.  The Cartesian velocity components and pressure on a collocated (non-staggered) grid are used as dependent variables in the momentum equations, which discretized by finite volume method, body fitted coordinates are used to represent the complex channel geometry accurately, and grid generation technique based on elliptic partial differential equations is employed. …”
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On the Use of Metal Sinter Powder in Laser Powder Bed Fusion Processing (PBF-LB/M) by Jan-Simeon Ludger Bernsmann, Simon Hillebrandt, Max Rommerskirchen, Sebastian Bold, Johannes Henrich Schleifenbaum

“…In addition, a lower sensitivity of the process with respect to modified process parameters is observed for the multimode laser, resulting in a wider range of stable process windows. A Cartesian motion system (gantry) is suitable for use in PBF-LB/M despite lower scan speeds compared to galvanometer scanners. …”
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Exploring locality sensitive hashing as a blocking method for large-scale administrative datasets by Leah Quinn, Rachel Shipsey

“…In contrast, our traditional deterministic blocking method using the same variables creates ~70,000 candidate pairs, and a cartesian product creates over 23.4 million candidate pairs. …”
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What drives cancer clinical trial accrual? An empirical analysis of studies leading to FDA authorisation (2015–2020) by Vinay Prasad, Kristina Jenei, Alyson Haslam, Timothée Olivier, Milos Miljkovíc

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LIMIT STATE COMPRESSED PLATE FROM THE FIRST-ORDER MATERIAL by Виталий Борисович Минтюк

“…The components of the right stretch tensor in the reference Cartesian coordinate system were written explicitly in terms of the derivatives of the three displacement functions. …”
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Effects of Inflow Shear on Wake Characteristics of Wind-Turbines over Flat Terrain by Takanori Uchida

“…First, in order to verify the prediction accuracy of the in-house large-eddy simulation (LES) solver, called RIAM-COMPACT, based on a Cartesian staggered grid, we conducted a wind-tunnel experiment using a wind-turbine scale model and compared the numerical and experimental results. …”
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Data-Efficient Reinforcement Learning for Variable Impedance Control by Akhil S. Anand, Rituraj Kaushik, Jan Tommy Gravdahl, Fares J. Abu-Dakka

“…In simulations and experiments, we evaluate DEVILC on a Franka Emika Panda robotic manipulator for different manipulation tasks in the Cartesian space. The results show that DEVILC is a promising direction toward autonomously learning compliant manipulation skills directly in the real world through interactions. …”
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ALGUNOS ASPECTOS LOGICOS Y EPISTEMOLOGICOS DE LA TEORIA DE CONJUNTOS FUZZY: SOBRE UNA TESIS DE ALAIN BADIOU by PABLO GARCÍA, RODOLFO PÉREZ

“…In the present paper we try to show how the fuzzy sets theory is to be thought not mainly as a theory of being-as-such, but as a theory of knowledge, as an attempt of giving account of its limits and vagueness, far away of the Cartesian ideal of clair and distinct knowledge. …”
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Development and Numerical Testing of a Model of Equiaxed Alloy Solidification Using a Phase Field Formulation by Abdur Rahman Al Azad, Philip Cardiff, David J. Browne

“…Simulations show that the grain shape is unaffected by changes to crystallographic orientation with respect to the Cartesian computational grid. Thermal gradients exerted discernible effects on the solute distribution and the dendritic growth pattern. …”
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Non-Monotonic dc Stark Shifts in the Rapidly Ionizing Orbitals of the Water Molecule by Patrik Pirkola, Marko Horbatsch

“…We find that for forces directed along the three Cartesian co-ordinates, the fastest ionizing orbital always displays a non-monotonic Stark shift. …”
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Unstable Landing Platform Pose Estimation Based on Camera and Range Sensor Homogeneous Fusion (CRHF) by Mohammad Sefidgar, Rene Landry

“…The homogeneous coordinate equation was then used to obtain the landmark’s X and Y Cartesian coordinates. Finally, 3D rigid body transformation is engaged to project the landing platform transformation in the camera frame. …”
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Borehole TV Imaging Technology for Horizontal Directional Drilling Based on an Optimization Algorithm for Structural Planes by Dong Yang, Wangsuo Cai, Junchao Wang, Yong Fang

“…Given these challenges, this study develops an optimization algorithm for structural planes: (1) first, information on multiple points in the 2D unfolded view is fitted using a sinusoidal function curve, three arbitrary points are constructed using the fitted curve, and the normal vector of the plane determined by the three points is calculated; (2) the normal vector in the geodetic coordinate system is obtained after two rotations of the spatial coordinate system based on the theory of transformation of Cartesian coordinate system; (3) finally, the dip angle and dip direction of a structural plane are calculated using the normal vector in the geodetic coordinate system. …”
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Development of a 3D Eulerian/Lagrangian Aircraft Icing Simulation Solver Based on OpenFOAM by Han Han, Zifei Yin, Yijun Ning, Hong Liu

“…A 3D icing simulation code is developed in the open-source CFD toolbox OpenFOAM. A hybrid Cartesian/body-fitted meshing method is used to generate high-quality meshes around complex ice shapes. …”
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DETERMINATION OF RESERVOIR DRAINAGE AREA FOR CONSTANTPRESSURE SYSTEMS USING WELL TEST DATA by Freddy-Humberto Escobar, Yuly-Andrea Hernández, Djebbar Tiab

“…In this work, the conventional cartesian straight-line pseudosteady-state solution and the Total Dissolved Solids (TDS) solution to estimate reservoir drainage area is applied to constant-pressure reservoirs to observe its accuracy. …”
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Activity Segmentation and Fish Tracking From Sonar Videos by Combining Artifacts Filtering and a Kalman Approach by Julian Winkler, Sabah Badri-Hoeher, Fatna Barkouch

“…The tracking step is performed using a classical Kalman filter which estimates the velocity and position of each object in Cartesian coordinates. Sonar detections in close range of the observation area are compared with camera detections for validation. …”
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Development of automatic puncture method to simulated blood vessel in semi-transparent skin model by noncontact position estimation using IR cameras by Koichi SAGAWA, Takuto FUJIMOTO, Tatsuya KOIDE, Chikara NAGAI

“…The position of puncture needle is controlled by cartesian coordinate mechanism to achieve high reliability and precision when operating in three-dimensional space. …”
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Weak Total Resolvability In Graphs by Casel Katrin, Estrada-Moreno Alejandro, Fernau Henning, Rodríguez-Velázquez Juan Alberto

“…(e) We show that for Cartesian product graphs, the weak total (adjacency) metric dimension is usually pretty small. …”
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Parallel Scheme for Multi-Layer Refinement Non-Uniform Grid Lattice Boltzmann Method Based on Load Balancing by Zhixiang Liu, Jun Ruan, Wei Song, Liping Zhou, Weiqi Guo, Jingxiang Xu

“…It also avoids the inefficiencies and waste of computational resources associated with standard LBMs using uniform and homogeneous Cartesian grids. This paper proposed a multi-layer grid-refinement strategy for LBM and implemented the corresponding parallel algorithm with load balancing. …”
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