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This study proposes a real-time control framework for cascaded hydropower systems that incorporates decision-dependent uncertainty (DDU) to capture the coupling of streamflow uncertainties across the reservoirs. The framework jointly models…

系统与控制 · 电气工程与系统科学 2026-05-26 Eliza Cohn , Ning Qi , Upmanu Lall , Bolun Xu

We present an arbitrarily high-order, conditionally stable, partitioned spectral deferred correction (SDC) method for solving multiphysics problems using a sequence of pre-existing single-physics solvers. This method extends the work in [1,…

数值分析 · 数学 2020-04-07 Daniel Z. Huang , Will Pazner , Per-Olof Persson , Matthew J. Zahr

We describe the CRASH (Center for Radiative Shock Hydrodynamics) code, a block adaptive mesh code for multi-material radiation hydrodynamics. The implementation solves the radiation diffusion model with the gray or multigroup method and…

太阳与恒星天体物理 · 物理学 2015-05-27 B. van der Holst , G. Toth , I. V. Sokolov , K. G. Powell , J. P. Holloway , E. S. Myra , Q. Stout , M. L. Adams , J. E. Morel , R. P. Drake

As supercomputers grow in hardware complexity, their susceptibility to faults increases and measures need to be taken to ensure the correctness of results. Some numerical algorithms have certain characteristics that allow them to recover…

分布式、并行与集群计算 · 计算机科学 2025-07-16 Thomas Saupe , Sebastian Götschel , Thibaut Lunet , Daniel Ruprecht , Robert Speck

This paper proposes and validates two new particle regularization techniques for the Smoothed Particle Hydrodynamics (SPH) numerical method to improve its stability and accuracy for free surface flow simulations. We introduce a general form…

流体动力学 · 物理学 2022-04-05 Mojtaba Jandaghian , Herman Musumari Siaben , Ahmad Shakibaeinia

Multi stage stochastic programs arise in many applications from engineering whenever a set of inventories or stocks has to be valued. Such is the case in seasonal storage valuation of a set of cascaded reservoir chains in hydro management.…

最优化与控制 · 数学 2019-12-02 Wim Van-Ackooij , Xavier Warin

For conventional smoothed particle hydrodynamics (SPH), obtaining the static solution of a problem is time-consuming. To address this drawback, we propose an efficient dynamic relaxation method by adding large artificial-viscosity-based…

计算工程、金融与科学 · 计算机科学 2021-03-17 Yujie Zhu , Chi Zhang , Xiangyu Hu

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…

系统与控制 · 电气工程与系统科学 2024-10-01 Zhaojun Ruan , Libao Shi

Silent data corruptions (SDCs) hinder the correctness of long-running scientific applications on large scale computing systems. Selective particle replication (SPR) is proposed herein as the first particle-based replication method for…

分布式、并行与集群计算 · 计算机科学 2020-05-19 Aurélien Cavelan , Rubén M. Cabezón , Florina M. Ciorba

In this paper we present two strategies to enable "parallelization across the method" for spectral deferred corrections (SDC). Using standard low-order time-stepping methods in an iterative fashion, SDC can be seen as preconditioned Picard…

数值分析 · 数学 2017-03-24 Robert Speck

A recent paper by Lucas-Serrano et al. indicates that a high-resolution central (HRC) scheme is robust enough to yield accurate hydrodynamical simulations of special relativistic flows in the presence of ultrarelativistic speeds and strong…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Masaru Shibata , José A. Font

The $^{12}$C+$^{12}$C fusion reaction plays a crucial role in stellar evolution and explosions. Its open reaction channels mainly include $\alpha$, $p$, $n$, and ${}^{8}$Be. Despite more than a half century of efforts, large discrepancies…

核实验 · 物理学 2020-10-23 Y. J. Li , X. Fang , B. Bucher , K. A. Li , L. H. Ru , X. D. Tang

An interesting physical process has been unveiled: dynamical core excitation during a breakup reaction of loosely bound $core+N$ systems. These reactions are typically used to extract spectroscopic information and/or astrophysical…

核理论 · 物理学 2009-11-11 N. C. Summers , F. M. Nunes , I. J. Thompson

We consider Lie and Strang splitting for the time integration of constrained partial differential equations with a nonlinear reaction term. Since such systems are known to be sensitive with respect to perturbations, the splitting procedure…

数值分析 · 数学 2016-07-27 Robert Altmann , Alexander Ostermann

Optimizing an industrial-scale supercritical water gasification process requires detailed knowledge of chemical reaction pathways, rates, and product yields. Laboratory-scale reactors are employed to develop this knowledge base. The…

In this paper we introduce the concept of Direct Statistical Simulation (DSS) for astrophysical flows. This technique may be appropriate for problems in astrophysical fluids where the instantaneous dynamics of the flows are of secondary…

太阳与恒星天体物理 · 物理学 2011-01-17 S. M. Tobias , K. Dagon , J. B. Marston

In this paper, we develop a stable and fast numerical scheme for relativistic dissipative hydrodynamics based on Israel-Stewart theory. Israel-Stewart theory is a stable and causal description of dissipation in relativistic hydrodynamics…

高能天体物理现象 · 物理学 2015-05-28 Makoto Takamoto , Shu-ichiro Inutsuka

We are interested in optimally controlling a discrete time dynamical system that can be influenced by exogenous uncertainties. This is generally called a Stochas-tic Optimal Control (SOC) problem and the Dynamic Programming (DP) principle…

最优化与控制 · 数学 2017-05-25 François Pacaud , Pierre Carpentier , Jean-Philippe Chancelier , Vincent Leclère

We construct a high-order adaptive time stepping scheme for vesicle suspensions with viscosity contrast. The high-order accuracy is achieved using a spectral deferred correction (SDC) method, and adaptivity is achieved by estimating the…

数值分析 · 数学 2014-09-02 Bryan Quaife , George Biros

Recent disagreement between state-of-the-art quantum chemical methods, coupled cluster with single, double and perturbative triples excitations and fixed-node diffusion Monte Carlo, calls for systematic examination of possible sources of…

化学物理 · 物理学 2025-05-14 S. Lambie , C. Rickert , D. Usvyat , A. Alavi , D. Kats