scholarly journals The stochastic quantization method and its application to the numerical simulation of volcanic conduit dynamics under random conditions

2010 ◽  
Vol 2 (1) ◽  
pp. 43-67
Author(s):  
E. Peruzzo ◽  
M. Barsanti ◽  
F. Flandoli ◽  
P. Papale
Keyword(s):  
Numerical Simulation ◽  
Probability Distribution ◽  
Numerical Simulations ◽  
Stochastic Quantization ◽  
Quantization Method ◽  
Benchmark Test ◽  
Magma Flow ◽  
One Dimensional ◽  
Volcanic Conduit ◽  
Made In

Abstract. Stochastic Quantization (SQ) is a method for the approximation of a continuous probability distribution with a discrete one. The proposal made in this paper is to apply this technique to reduce the number of numerical simulations for systems with uncertain inputs, when estimates of the output distribution are needed. This question is relevant in volcanology, where realistic simulations are very expensive and uncertainty is always present. We show the results of a benchmark test based on a one-dimensional steady model of magma flow in a volcanic conduit.

scholarly journals The stochastic quantization method and its application to the numerical simulation of volcanic conduit dynamics under random conditions

Solid Earth ◽  
2010 ◽  
Vol 1 (1) ◽  
pp. 49-59 ◽  
Author(s):  
E. Peruzzo ◽  
M. Barsanti ◽  
F. Flandoli ◽  
P. Papale
Keyword(s):  
Numerical Simulation ◽  
Probability Distribution ◽  
Numerical Simulations ◽  
Stochastic Quantization ◽  
Quantization Method ◽  
Benchmark Test ◽  
Magma Flow ◽  
One Dimensional ◽  
Volcanic Conduit ◽  
Made In

Abstract. Stochastic Quantization (SQ) is a method for the approximation of a continuous probability distribution with a discrete one. The proposal made in this paper is to apply this technique to reduce the number of numerical simulations for systems with uncertain inputs, when estimates of the output distribution are needed. This question is relevant in volcanology, where realistic simulations are very expensive and uncertainty is always present. We show the results of a benchmark test based on a one-dimensional steady model of magma flow in a volcanic conduit.

scholarly journals Numerical Simulation of Nonlinear  -Model by Means of Stochastic Quantization Method

1985 ◽  
Vol 73 (1) ◽  
pp. 186-196 ◽  
Author(s):  
M. Namiki ◽  
I. Ohba ◽  
K. Okano ◽  
M. Rikihisa ◽  
S. Tanaka
Keyword(s):  
Numerical Simulation ◽  
Nonlinear Model ◽  
Stochastic Quantization ◽  
Quantization Method

scholarly journals A modification of the CABARET scheme for numerical simulation of one-dimensional detonation flows using a one-stage irreversible model of chemical kinetics

2017 ◽  
pp. 1-10
Author(s):  
А.В. Данилин ◽  
А.В. Соловьев ◽  
А.М. Зайцев
Keyword(s):  
Numerical Simulation ◽  
Chemical Kinetics ◽  
Order Of Approximation ◽  
Governing Equations ◽  
Physical Processes ◽  
Cabaret Scheme ◽  
One Dimensional ◽  
One Stage ◽  
The Right ◽  
Made In

Представлен алгоритм для численного моделирования задач одномерной детонации с использованием одностадийной необратимой модели химической кинетики. Дискретизация уравнений движения произведена согласно балансно-характеристической методике ``кабаре''. Аппроксимация источниковых членов выполнена без расщепления по физическим процессам с использованием неявного подхода с регулируемым порядком аппроксимации. Показано точное согласование параметров моделируемой детонации Чепмена--Жуге с аналитическим решением. Для неустойчивой детонации продемонстрирована зависимость результатов расчета от порядка аппроксимации правых частей. An algorithm for numerical simulation of one-dimensional detonation using a one-stage irreversible model of chemical kinetics is proposed. The discretization of the convective parts of governing equations is made in accordance with the balance-characteristic CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) approach. The approximation of source terms is performed implicitly without splitting into physical processes with a regulated order of approximation. It is shown that the numerically obtained Chapman-Jouget detonation parameters are in exact agreement with the analytical solution. It is also shown that, in the case of unstable detonation, the numerical results are dependent on the order of approximation chosen for the right-hand sides of the governing equations.

Numerical Simulation of Stefan’s One-Dimensional Multi-Front Problems

2017 ◽  
Vol 3 (3) ◽  
pp. 8-16
Author(s):  
Boris G. Aksenov ◽  
Yuri E. Karyakin
Keyword(s):  
Numerical Simulation ◽  
One Dimensional

scholarly journals Study on the regional characteristics during foam flooding by population balance model

2020 ◽  
pp. 014459872098361
Author(s):  
Zhongbao Wu ◽  
Qingjun Du ◽  
Bei Wei ◽  
Jian Hou
Keyword(s):  
Numerical Simulation ◽  
Simulation Model ◽  
Oil Recovery ◽  
Population Balance ◽  
Growth Zone ◽  
Balance Model ◽  
Population Balance Model ◽  
Liquid Ratio ◽  
One Dimensional ◽  
Foam Flooding

Foam flooding is an effective method for enhancing oil recovery in high water-cut reservoirs and unconventional reservoirs. It is a dynamic process that includes foam generation and coalescence when foam flows through porous media. In this study, a foam flooding simulation model was established based on the population balance model. The stabilizing effect of the polymer and the coalescence characteristics when foam encounters oil were considered. The numerical simulation model was fitted and verified through a one-dimensional displacement experiment. The pressure difference across the sand pack in single foam flooding and polymer-enhanced foam flooding both agree well with the simulation results. Based on the numerical simulation, the foam distribution characteristics in different cases were studied. The results show that there are three zones during foam flooding: the foam growth zone, stable zone, and decay zone. These characteristics are mainly influenced by the adsorption of surfactant, the gas–liquid ratio, the injection rate, and the injection scheme. The oil recovery of polymer-enhanced foam flooding is estimated to be 5.85% more than that of single foam flooding. Moreover, the growth zone and decay zone in three dimensions are considerably wider than in the one-dimensional model. In addition, the slug volume influences the oil recovery the most in the foam enhanced foam flooding, followed by the oil viscosity and gas-liquid ratio. The established model can describe the dynamic change process of foam, and can thus track the foam distribution underground and aid in optimization of the injection strategies during foam flooding.

scholarly journals Wind shear over the Nice Côte d'Azur airport: case studies

2013 ◽  
Vol 13 (9) ◽  
pp. 2223-2238 ◽  
Author(s):  
A. Boilley ◽  
J.-F. Mahfouf
Keyword(s):  
Numerical Simulation ◽  
Numerical Model ◽  
Numerical Simulations ◽  
Wind Shear ◽  
Horizontal Wind ◽  
Wind Profiler ◽  
Measurement Campaign ◽  
Wind Lidar ◽  
Real Time Applications ◽  
Wind Shears

Abstract. The Nice Côte d'Azur international airport is subject to horizontal low-level wind shears. Detecting and predicting these hazards is a major concern for aircraft security. A measurement campaign took place over the Nice airport in 2009 including 4 anemometers, 1 wind lidar and 1 wind profiler. Two wind shear events were observed during this measurement campaign. Numerical simulations were carried out with Meso-NH in a configuration compatible with near-real time applications to determine the ability of the numerical model to predict these events and to study the meteorological situations generating an horizontal wind shear. A comparison between numerical simulation and the observation dataset is conducted in this paper.

Numerical Simulations of One-Dimensional Infiltration into Layered Soils with the Richards Equation Using Different Estimates of the Interlayer Conductivity

2003 ◽  
Vol 2 (2) ◽  
pp. 193-200 ◽  
Author(s):  
B. Brunone ◽  
M. Ferrante ◽  
N. Romano ◽  
A. Santini
Keyword(s):  
Numerical Simulations ◽  
Richards Equation ◽  
Layered Soils ◽  
One Dimensional

Analytical Solution and Numerical Simulation for One-Dimensional Steady Nonlinear Heat Conduction in a Longitudinal Radial Fin with Various Profiles

2013 ◽  
Vol 44 (1) ◽  
pp. 20-38 ◽  
Author(s):  
R.J. Moitsheki ◽  
M.M. Rashidi ◽  
A. Basiriparsa ◽  
A. Mortezaei
Keyword(s):  
Numerical Simulation ◽  
Heat Conduction ◽  
Analytical Solution ◽  
Nonlinear Heat Conduction ◽  
One Dimensional
Sign in / Sign up

Export Citation Format

Share Document