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We review and compare numerical methods that simultaneously control temperature while preserving the momentum, a family of particle simulation methods commonly used for the modelling of complex fluids and polymers. The class of methods…

Computational Physics · Physics 2020-02-14 Benedict Leimkuhler , Xiaocheng Shang

In this paper a simple, robust, and general purpose approach to implement the Incompressible Smoothed Particle Hydrodynamics (ISPH) method is proposed. This approach is well suited for implementation on CPUs and GPUs. The method is…

Numerical Analysis · Mathematics 2021-05-06 Abhinav Muta , Prabhu Ramachandran , Pawan Negi

We present a novel radiation hydrodynamics code, START, which is a smoothed particle hydrodynamics (SPH) scheme coupled with accelerated radiative transfer. The basic idea for the acceleration of radiative transfer is parallel to the tree…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Kenji Hasegawa , Masayuki Umemura

Numerical modeling simulations and the use of high-performance computing are fundamental for detailed safety analysis, control and operation of a nuclear reactor, allowing the study and analysis of problems related to thermal-hydraulics,…

Semidefinite programming (SDP) is widely acknowledged as one of the most effective methods for deriving the tightest lower bounds of the optimal power flow (OPF) problems. In this paper, an enhanced semidefinite relaxation model that…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Zhaojun Ruan , Libao Shi

Proper heat transfer management is important to key electronic components in microelectronic applications. Pulsating heat pipes (PHP) can be an efficient solution to such heat transfer problems. However, mathematical modelling of a PHP…

Optimization and Control · Mathematics 2014-04-01 Xin-She Yang , Mehmet Karamanoglu , Tao Luan , Slawomir Koziel

Distributed learning offers a practical solution for the integrative analysis of multi-source datasets, especially under privacy or communication constraints. However, addressing prospective distributional heterogeneity and ensuring…

Methodology · Statistics 2025-11-27 Yinrui Sun , Yin Xia

Many relevant problems in the area of systems and control, such as controller synthesis, observer design and model reduction, can be viewed as optimization problems involving dynamical systems: for instance, maximizing performance in the…

Optimization and Control · Mathematics 2023-11-15 Pascal Den Boef , Jos Maubach , Wil Schilders , Nathan van de Wouw

This paper presents a generalised and efficient wall boundary treatment in the smoothed particle hydrodynamics (SPH) method for 3-D complex and arbitrary geometries with single- and multi-phase flows to be executed on graphics processing…

Computational Physics · Physics 2022-09-14 Massoud Rezavand , Chi Zhang , Xiangyu Hu

Software Defined Networking (SDN) can effectively improve the performance of traffic engineering and has promising application foreground in backbone networks. Therefore, new energy saving schemes must take SDN into account, which is…

Networking and Internet Architecture · Computer Science 2016-05-13 Yunkai Wei , Xiaoning Zhang , Lei Xie , Supeng Leng

In this work, we study the stochastic optimal control problem (SOC) mainly from the probabilistic view point, i.e. via the Stochastic Maximum principle (SMP) \cite{Peng4}. We adopt the sample-wise backpropagation scheme proposed in…

Optimization and Control · Mathematics 2025-06-17 Hui Sun , Feng Bao

Decarbonization plans promote the transition to heat pumps (HPs), creating new opportunities for their energy flexibility in demand response programs, solar photovoltaic integration and optimization of distribution networks. This paper…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Gustavo L. Aschidamini , Mina Pavlovic , Bradley A. Reinholz , Malcolm S. Metcalfe , Taco Niet , Mariana Resener

Splitting is a method to handle application problems by splitting physics, scales, domain, and so on. Many splitting algorithms have been designed for efficient temporal discretization. In this paper, our goal is to use temporal splitting…

Numerical Analysis · Mathematics 2022-08-17 Yalchin Efendiev , Wing Tat Leung , Guang Lin , Zecheng Zhang

Models incorporating uncertain inputs, such as random forces or material parameters, have been of increasing interest in PDE-constrained optimization. In this paper, we focus on the efficient numerical minimization of a convex and smooth…

Optimization and Control · Mathematics 2021-06-18 Caroline Geiersbach , Winnifried Wollner

Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate solids. However, there are situations where the matter behaves…

Fluid Dynamics · Physics 2024-01-18 Ondřej Kincl , Ilya Peshkov , Michal Pavelka , Václav Klika

The aim of this paper is to introduce a new computational fluid dynamics method to be called unsmoothed particle hydrodynamics SPH$-i$ which makes few assumptions and makes no assumption beyond the Navier-Stokes equations. The most…

Fluid Dynamics · Physics 2018-08-01 Kalale Chola

The Stochastic Heat Flow (SHF) emerges as the scaling limit of directed polymers in random environments and the noise-mollified Stochastic Heat Equation (SHE), specifically at the critical dimension of two and near the critical temperature.…

Probability · Mathematics 2026-03-17 Li-Cheng Tsai

Thermal energy storage using sensible heating of a solid storage medium is a potential low-cost technology for long-duration energy storage. To effectively get heat in and out of the solid material, channels of heat transfer fluid can be…

Applied Physics · Physics 2024-02-13 Shomik Verma , Colin Kelsall , Kyle Buznitsky , Alina LaPotin , Ashwin Sandeep , Asegun Henry

Partial Differential Equations (PDEs) are widely used for modeling the physical phenomena and analyzing the dynamical behavior of many engineering and physical systems. The heat equation is one of the most well-known PDEs that captures the…

Logic in Computer Science · Computer Science 2022-08-16 Elif Deniz , Adnan Rashid , Osman Hasan , Sofiène Tahar

To address the problem of combined heat and power economic emission dispatch (CHPEED), a two-stage approach is proposed by combining multi-objective optimization (MOO) with integrated decision making (IDM). First, a practical CHPEED model…

Optimization and Control · Mathematics 2018-08-22 Yang Li , Jinlong Wang , Dongbo Zhao , Guoqing Li , Chen Chen
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