On the marginal stability of upwind schemes

2008 ◽  
pp. 385-390
Author(s):  
J. Gressier ◽  
J.-M. Moschetta
Keyword(s):  
Marginal Stability ◽  
Upwind Schemes

Efficient conservative second-order central-upwind schemes for option-pricing problems

2019 ◽  
Vol 22 (5) ◽  
pp. 71-101 ◽  
Author(s):  
Omishwary Bhatoo ◽  
Arshad Ahmud Iqbal Peer ◽  
Eitan Tadmor ◽  
Desire Yannick Tangman ◽  
Aslam Aly El Faidal Saib
Keyword(s):  
Option Pricing ◽  
Second Order ◽  
Upwind Schemes ◽  
Pricing Problems

THE APPROACHES TO THE SOLVING ENVIRONMENTAL AND ECONOMIC PROBLEMS OF SUSTAINABLE DEVELOPMENT ON THE SHELF OF THE ARCTIC SEAS OF THE RUSSIAN FEDERATION

2017 ◽  
Author(s):  
Alexander Krivichev ◽  
Alexander Krivichev
Keyword(s):  
Continental Shelf ◽  
Oil Spill ◽  
The Arctic ◽  
Marginal Stability ◽  
Environmental Benefit ◽  
Arctic Seas ◽  
Dynamic Simulations ◽  
Economic Problems ◽  
Technogenic Loads ◽  
Oil Spill Response

Russian Arctic shelf - rich larder of the hydrocarbons, at the same time Northern Sea Route (NSR) - a strategically important route for transporting them. The extraction and the transportation of the hydrocarbons along the NSR requires the solution of a number of ecological and economic problems in the first place to ensure environmental and technogenic safety. For the solving of these problems on the continental shelf it is required a system of comprehensive measures: - the development of the regulatory framework for environmental support oil and gas projects; - the introduction and use of integrated methods for monitoring environmental conditions at the sites of technogenic loads on the shelf of the Arctic seas, including the use of drones; - creating different models for assessing the marginal stability of ecosystems to technogenic loads during production and transportation of hydrocarbons on the continental shelf based on systems of dynamic simulations; - the development and use of sensitivity maps of coastal areas of the Arctic seas during oil spill response; - accounting of the results of the analysis of the total environmental benefit in the development of oil spill response plans; - application of the principle of "zero" resetting, due to the high fishery valuation in Barents and Kara seas and the conservation of marine biological resources.

Stability of bounded rapid shear flows of a granular material

1996 ◽  
Vol 308 ◽  
pp. 31-62 ◽  
Author(s):  
Chi-Hwa Wang ◽  
R. Jackson ◽  
S. Sundaresan
Keyword(s):  
Growth Rate ◽  
Stability Analysis ◽  
Granular Material ◽  
Bulk Density ◽  
Particulate Material ◽  
Dominant Mode ◽  
Marginal Stability ◽  
Sheared Layer ◽  
The Stability ◽  
Unusual Type

This paper presents a linear stability analysis of a rapidly sheared layer of granular material confined between two parallel solid plates. The form of the steady base-state solution depends on the nature of the interaction between the material and the bounding plates and three cases are considered, in which the boundaries act as sources or sinks of pseudo-thermal energy, or merely confine the material while leaving the velocity profile linear, as in unbounded shear. The stability analysis is conventional, though complicated, and the results are similar in all cases. For given physical properties of the particles and the bounding plates it is found that the condition of marginal stability depends only on the separation between the plates and the mean bulk density of the particulate material contained between them. The system is stable when the thickness of the layer is sufficiently small, but if the thickness is increased it becomes unstable, and initially the fastest growing mode is analogous to modes of the corresponding unbounded problem. However, with a further increase in thickness a new mode becomes dominant and this is of an unusual type, with no analogue in the case of unbounded shear. The growth rate of this mode passes through a maximum at a certain value of the thickness of the sheared layer, at which point it grows much faster than any mode that could be shared with the unbounded problem. The growth rate of the dominant mode also depends on the bulk density of the material, and is greatest when this is neither very large nor very small.

A Note on Marginal Stability of Switched Systems

2008 ◽  
Vol 53 (2) ◽  
pp. 625-631 ◽  
Author(s):  
Zhendong Sun
Keyword(s):  
Switched Systems ◽  
Marginal Stability

scholarly journals Marginal Stability in Structural, Spin, and Electron Glasses

2015 ◽  
Vol 6 (1) ◽  
pp. 177-200 ◽  
Author(s):  
Markus Müller ◽  
Matthieu Wyart
Keyword(s):  
Marginal Stability

Accuracy of upwind schemes applied to the Navier-Stokes equations

AIAA Journal ◽  
1990 ◽  
Vol 28 (7) ◽  
pp. 1312-1314 ◽  
Author(s):  
E. von Lavante
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Upwind Schemes

Dissipation Improvement of MUSCL Scheme for Computational Aeroacoustics

2001 ◽  
Vol 17 (1) ◽  
pp. 39-47
Author(s):  
San-Yin Lin ◽  
Sheng-Chang Shih ◽  
Jen-Jiun Hu
Keyword(s):  
Wave Interaction ◽  
Sine Wave ◽  
Numerical Dissipation ◽  
Finite Volume Scheme ◽  
Linear Wave ◽  
Riemann Solver ◽  
Two Dimensional ◽  
Order Accuracy ◽  
Upwind Schemes ◽  
Continuous Waves

ABSTRACTAn upwind finite-volume scheme is studied for solving the solutions of two dimensional Euler equations. It based on the MUSCL (Monotone Upstream Scheme for Conservation Laws) approach with the Roe approximate Riemann solver for the numerical flux evaluation. First, dissipation and dispersion relation, and group velocity of the scheme are derived to analyze the capability of the proposed scheme for capturing physical waves, such as acoustic, entropy, and vorticity waves. Then the scheme is greatly enhanced through a strategy on the numerical dissipation to effectively handle aeroacoustic computations. The numerical results indicate that the numerical dissipation strategy allows that the scheme simulates the continuous waves, such as sound and sine waves, at fourth-order accuracy and captures the discontinuous waves, such a shock wave, sharply as well as most of upwind schemes do. The tested problems include linear wave convection, propagation of a sine-wave packet, propagation of discontinuous and sine waves, shock and sine wave interaction, propagation of acoustic, vorticity, and density pulses in an uniform freestream, and two-dimensional traveling vortex in a low-speed freestream.

Upwind finite‐difference calculation of traveltimes

Geophysics ◽  
1991 ◽  
Vol 56 (6) ◽  
pp. 812-821 ◽  
Author(s):  
J. van Trier ◽  
W. W. Symes
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Conservation Law ◽  
Finite Difference Scheme ◽  
Eikonal Equation ◽  
Upwind Schemes ◽  
Similar Scheme ◽  
Difference Calculation ◽  
Flow Variables ◽  
Upwind Finite Difference

Seismic traveltimes can be computed efficiently on a regular grid by an upwind finite‐difference method. The method solves a conservation law that describes changes in the gradient components of the traveltime field. The traveltime field itself is easily obtained from the solution of the conservation law by numerical integration. The conservation law derives from the eikonal equation, and its solution depicts the first‐arrival‐time field. The upwind finite‐difference scheme can be implemented in fully vectorized form, in contrast to a similar scheme proposed recently by Vidale. The resulting traveltime field is useful both in Kirchhoff migration and modeling and in seismic tomography. Many reliable methods exist for the numerical solution of conservation laws, which appear in fluid mechanics as statements of the conservation of mass, momentum, etc. A first‐order upwind finite‐difference scheme proves accurate enough for seismic applications. Upwind schemes are stable because they mimic the behavior of fluid flow by using only information taken from upstream in the fluid. Other common difference schemes are unstable, or overly dissipative, at shocks (discontinuities in flow variables), which are time gradient discontinuities in our approach to solving the eikonal equation.

scholarly journals Stable upwind schemes for the magnetic induction equation

2009 ◽  
Vol 43 (5) ◽  
pp. 825-852 ◽  
Author(s):  
Franz G. Fuchs ◽  
Kenneth H. Karlsen ◽  
Siddharta Mishra ◽  
Nils H. Risebro
Keyword(s):  
Magnetic Induction ◽  
Upwind Schemes ◽  
Induction Equation ◽  
Magnetic Induction Equation
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