Stream-Tube Method in Two-Dimensional Problems

2021 ◽  
pp. 75-126
Author(s):  
Jean-Robert Clermont ◽  
Amine Ammar
Keyword(s):  
Two Dimensional ◽  
Stream Tube

Domain Transformations: Stream-Tube Method in Two-Dimensional Cases

2021 ◽  
pp. 37-73
Author(s):  
Jean-Robert Clermont ◽  
Amine Ammar
Keyword(s):  
Two Dimensional ◽  
Stream Tube

Finite element and stream-tube formulations for flow computations—two-dimensional applications

2002 ◽  
Vol 60 (1-2) ◽  
pp. 129-134 ◽  
Author(s):  
Magdeleine Normandin ◽  
Dana Grecov Radu ◽  
Ahmad Mahmoud ◽  
Jean-Robert Clermont
Keyword(s):  
Finite Element ◽  
Two Dimensional ◽  
Stream Tube

Numerical Solution of Multiphase, Two-Dimensional Incompressible Flow Using Stream-Tube Relationships

1979 ◽  
Vol 19 (05) ◽  
pp. 313-323 ◽  
Author(s):  
J.C. Martin ◽  
R.E. Wegner
Keyword(s):  
Water Injection ◽  
Field Research ◽  
Convincing Evidence ◽  
Oil Field ◽  
Numerical Dispersion ◽  
Co2 Injection ◽  
Two Dimensional ◽  
Stream Tube ◽  
Two Phase ◽  
Fluid Displacement

Abstract A numerical method is presented that overcomes the effects of numerical dispersion. The method applies to two-dimensional, incompressible, two-phase flow, where the effects of gravity can be neglected. The theory presented represents the theoretical foundation for stream-tube methods, including the methods introduced by Higgins and Leighton in 1962. The computer code used to reduce the theory to practice is described, and examples are presented of practice is described, and examples are presented of five-spot, nine-spot, and staggered and direct line drive pattern performances. These results demonstrate the effect of fluid-mobility changes on streamlines. In general, the fixed stream-tube results are within 10% of those obtained using variable stream tubes. Exceptions occur for the direct line drive pattern for mobility ratios of 0.10 and 10. Overall, results indicate that fixed stream-tube methods are satisfactory for many problems and involve much less mathematics and computations than variable-tube methods. Introduction The stream-tube approximation was introduced in 1962 by Higgins and Leighton. They presented convincing evidence that the performance of five-spot-pattern waterfloods can be calculated by holding the streamlines constant as the flood progresses and using Buckley-Leverett theory to progresses and using Buckley-Leverett theory to calculate the fluid displacement along streamlines. Extensions, elaborations, and applications of the Higgins-Leighton method are found in Refs. 5 through 11. Chevron Oil Field Research Co. has used stream-tube computer models for the last 10 years. Most of these models were based on the assumption that the changes in the streamlines could be neglected if the ratios of production and injection between the various wells did not change drastically. Initially, the fluid displacement was determined by Buckley-Leverett theory, and applications were restricted to waterfloods and pressure-maintenance operations by gas injection. Later, the fluid displacement relations were extended, and stream-tube models were used to study CO2 injection, combined CO2 and water injection, water cycling in a geothermal reservoir, and polymer flooding.Results obtained by finite-difference reservoir simulators tend to smooth out or disperse water and oil banks over a number of computing cells. This "numerical-dispersion" effect can result in unrealistic early breakthrough predictions followed by incorrect predictions of the produced water and GOR's. This is a serious problem, particularly in cases where only a few computing cells separate injection and production wells. Stream-tube models can calculate accurately the positions of the fluid banks and, thus, overcome the effects of numerical dispersion. In many cases, these models can be used to calculate reservoir performances at relatively low cost. In addition, computer plots of the streamlines and pressure contours can be used to study overall fluid flow without going to the added trouble and expense of performing the displacement calculations. SPEJ P. 313

A study of the asymmetric shock reflection configurations in steady flows

2017 ◽  
Vol 825 ◽  
pp. 1-15 ◽  
Author(s):  
Yuan Tao ◽  
Weidong Liu ◽  
Xiaoqiang Fan ◽  
Bin Xiong ◽  
Jiangfei Yu ◽  
...  
Keyword(s):  
Analytical Model ◽  
Mach Reflection ◽  
Shock Reflection ◽  
Horizontal Distance ◽  
Steady Flows ◽  
Two Dimensional ◽  
Mach Stem ◽  
Stream Tube ◽  
Triple Points ◽  
Asymmetric Shock

In this paper the asymmetric shock reflection configurations in two-dimensional steady flows have been studied theoretically. For an overall Mach reflection, it is found that the horizontal distance between both triple points in the Mach stem is related to the angles of two slip streams. Based on the features of the converging stream tube, several assumptions are put forward to perform better the wave configurations near the slip streams. Therefore, we present an analytical model here to describe the asymmetric overall Mach reflection configurations which agrees well with the computational and experimental results.

scholarly journals Applications of Two-Dimensional Spatial Routing Procedure for Estimating Dispersion Coefficients in Open Channel Flows

Water ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1394
Author(s):  
Jaehyun Shin ◽  
Dongsop Rhee ◽  
Inhwan Park
Keyword(s):  
Open Channel ◽  
Test Case ◽  
Two Dimensional ◽  
Dispersion Coefficients ◽  
Stream Tube ◽  
Measured Concentration ◽  
Mixing Properties ◽  
Meandering Channel ◽  
Concentration Time ◽  
Routing Methods

In this study, the performance of two routing procedures were evaluated to estimate the two-dimensional dispersion coefficients. The two-dimensional Stream-Tube Routing Procedure (2D ST-RP) has been widely used to obtain the dispersion coefficients from measured concentration-time curves under the frozen cloud assumption. Meanwhile, the Spatial Routing Procedure (2D S-RP) employs the spatial distributions of concentration to estimate the dispersion coefficients. The performance of the two routing methods were evaluated in aspect of the validity of the frozen cloud assumption and the applicability in the non-Fickian mixing. From the estimation results of dispersion coefficients, the results by the 2D ST-RP included errors due to skewed concentration-time curves which were created by violating the frozen cloud assumption. On the other hand, the 2D S-RP provides accurate dispersion coefficients in the same condition. The estimated results of dispersion coefficients in the meandering channel show that both the 2D ST-RP and the 2D S-RP contained errors due to the non-Fickian mixing properties of the test case. Even with the discrepancies, the 2D S-RP presented more appropriate spatial variabilities along the meander cycle than the results by the 2D ST-RP.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

Introductory paper

1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan
Keyword(s):  
Line Intensity ◽  
Classification Scheme ◽  
Two Dimensional ◽  
Spectral Classification ◽  
Dimensional Array ◽  
Rr Lyrae ◽  
Metallic Line ◽  
Introductory Paper ◽  
Parameter Varying ◽  
Definition Of

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Analysis of the 9th November 1990 flare

2000 ◽  
Vol 179 ◽  
pp. 229-232
Author(s):  
Anita Joshi ◽  
Wahab Uddin
Keyword(s):  
Image Processing ◽  
Two Dimensional ◽  
Temporal Behaviour ◽  
Contour Maps ◽  
Dimensional Measurements ◽  
Processing Software ◽  
Image Processing Software

AbstractIn this paper we present complete two-dimensional measurements of the observed brightness of the 9th November 1990Hαflare, using a PDS microdensitometer scanner and image processing software MIDAS. The resulting isophotal contour maps, were used to describe morphological-cum-temporal behaviour of the flare and also the kernels of the flare. Correlation of theHαflare with SXR and MW radiations were also studied.

High Resolution Microscopy of Multi-Layered Biological Crystals

1982 ◽  
Vol 40 ◽  
pp. 80-83
Author(s):  
H.A. Cohen ◽  
T.W. Jeng ◽  
W. Chiu
Keyword(s):  
High Resolution ◽  
Low Dose ◽  
Three Dimensional ◽  
Data Interpretation ◽  
Two Dimensional ◽  
Biological Objects ◽  
Density Maps ◽  
Density Map ◽  
Complex Crystal ◽  
High Resolution Microscopy

This tutorial will discuss the methodology of low dose electron diffraction and imaging of crystalline biological objects, the problems of data interpretation for two-dimensional projected density maps of glucose embedded protein crystals, the factors to be considered in combining tilt data from three-dimensional crystals, and finally, the prospects of achieving a high resolution three-dimensional density map of a biological crystal. This methodology will be illustrated using two proteins under investigation in our laboratory, the T4 DNA helix destabilizing protein gp32*I and the crotoxin complex crystal.

Sign in / Sign up

Export Citation Format

Share Document