My Account
Digital Library
Bookstore
News
Archives
SIAM Engage
Contact
Donate
Become A Member
Society for Industrial and Applied Mathematics
Become a Member
Login
Get Involved
Society for Industrial and Applied Mathematics
Home
Publications
Journals
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal (MMS)
SIAM Journal on Applied Algebra and Geometry (SIAGA)
SIAM Journal on Applied Dynamical Systems (SIADS)
SIAM Journal on Applied Mathematics (SIAP)
SIAM Journal on Computing (SICOMP)
SIAM Journal on Control and Optimization (SICON)
SIAM Journal on Discrete Mathematics (SIDMA)
SIAM Journal on Financial Mathematics (SIFIN)
SIAM Journal on Imaging Sciences (SIIMS)
SIAM Journal on Mathematical Analysis (SIMA)
SIAM Journal on Mathematics of Data Science (SIMODS)
SIAM Journal on Matrix Analysis and Applications (SIMAX)
SIAM Journal on Numerical Analysis (SINUM)
SIAM Journal on Optimization (SIOPT)
SIAM Journal on Scientific Computing (SISC)
SIAM / ASA Journal on Uncertainty Quantification (JUQ)
SIAM Review (SIREV)
Theory of Probability and Its Applications (TVP)
Related
Recent Articles
Information for Authors
Subscriptions and Ordering Information
Journal Policies
Open Access
Books
Book Series
For Authors
For Booksellers
For Librarians
For Educators
SIAM News
SIURO
Volume 15
Volume 14
Volume 13
Volume 12
Volume 11
Volume 10
Volume 9
Volume 8
Volume 7
Volume 6
Volume 5
Volume 4
Volume 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 2
Volume 1, Issue 1
Related
Editorial Information
Instructions for Undergraduate Authors
Reports
Digital Library
SIAM Unwrapped
Proceedings
Research Areas
Analysis and Partial Differential Equations
Applied Geometry
Applied Mathematics Education
Classical Applied Mathematics
Computational Science & Numerical Analysis
Control and Systems Theory
Data Science
Discrete Mathematics and Theoretical Computing
Dynamical Systems, Nonlinear Waves
Financial Mathematics and Engineering
Geosciences and Mathematics of Planet Earth
Imaging Science
Life Sciences
Linear Algebra
Mathematical Aspects of Materials Science
Optimization
Uncertainty Quantification
Conferences
Calendar
SIAM Conferences
Cooperating Conferences
Archives
Conference Support
SIAM Student Travel Awards
SIAM Early Career Travel Awards
About SIAM Conferences
Conference Guidelines
Navigating a SIAM Conference
Featured Lectures & Videos
Ways to Sponsor
Exhibitors and Sponsors
Propose a Conference or Workshop
FAQ
Proceedings
Careers
Job Board
Internships
Fellowships
Funding Opportunities
Resources
Companies and Industries
Careers in the Math Sciences
What is Applied Mathematics and Computational Science?
SIAM Career Fairs
Students & Education
Programs & Initiatives
BIG Math Network
Gene Golub SIAM Summer School
MathWorks Math Modeling (M3) Challenge
MGB-SIAM Early Career Fellowship
PIC Math: Preparation for Industrial Careers in Mathematical Sciences
SIAM Science Policy Fellowship Program
SIAM Visiting Lecturer Program
SIAM Webinars & Seminars
Tondeur Initiatives
Thinking of a Career in Applied Mathematics?
Resources
For Undergraduate Students
For K-12 Students
For Educators
Student Chapters
Start a Chapter
Student Chapter Directory
Chapter Resources
Membership
Join SIAM
Individual Members
Institutional Members
Activity Groups
Algebraic Geometry SI(AG)2
Analysis of Partial Differential Equations
Applied and Computational Discrete Algorithms
Applied Mathematics Education
Computational Science and Engineering
Control and Systems Theory
Data Science
Discrete Mathematics
Dynamical Systems
Financial Mathematics and Engineering
Geometric Design
Geosciences
Imaging Science
Life Sciences
Linear Algebra
Mathematics of Planet Earth
Mathematical Aspects of Materials Science
Nonlinear Waves and Coherent Structures
Optimization
Orthogonal Polynomials and Special Functions
Supercomputing
Uncertainty Quantification
Related
Start an Activity Group
Information for Activity Group Officers
SIAM Activity Group Leadership Suggestion
Sections
SIAM Central States Section
Great Lakes Section of SIAM
Mexico Section of SIAM
SIAM NY-NJ-PA Section
SIAM Northern States Section
SIAM Pacific Northwest Section
SIAM Southeastern Atlantic Section
SIAM Southern California Section
SIAM Texas-Louisiana Section
SIAM Washington-Baltimore Section
Argentina Section of SIAM
Bulgaria Section of SIAM
Colombia Section of SIAM
East Asia Section of SIAM
United Kingdom and Republic of Ireland of SIAM
Related
Start a Section
Information for Section Officers
Policies & Guidelines
Prizes & Recognition
Deadline Calendar
View All Prizes
Major Prizes & Lectures
Activity Group Prizes
Student Prizes
Joint Prizes
Fellows Program
Nomination Procedures
Selection Criteria
Eligibility
All SIAM Fellows
FAQ
Policies & Guidelines
SIAM Prize Policy
For SIAM Activity Group Officers
Prizes & Recognition FAQ
For Selection Committees
For Prize Winners
For Nominators
Publications
SIURO
Volume 1, Issue 2
Text/HTML
SIAM Undergraduate Research Online
Volume 1, Issue 2
SIAM Undergraduate Research Online Volume 1, Issue 2
Basins of Attraction and Perturbed Numerical Solutions using Euler's Method
Published electronically September 2, 2008
DOI:
10.1137/08S010116
Author:
Hendrik Orem (Harvey Mudd College)
Sponsor:
Professor Rachel Levy (Harvey Mudd College)
Abstract:
Small uncertainties in a dynamical system due to imperfect measurements or variations in the environment can dramatically impact the long term behavior of a trajectory. This phenomenon is studied in a population competition model by introducing a random error term into a numerical solver and investigating the effect on the behavior of solutions. Two methods for analyzing the impact of a random term are demonstrated.
Modeling the Fluid Flow around Airfoils Using Conformal Mapping
Published electronically October 6, 2008
DOI:
10.1137/08S010104
Authors:
Nitin R. Kapania, Katherine Terracciano, Shannon Taylor (Franklin W. Olin College of Engineering)
Sponsor:
Burt S. Tilley (Franklin W. Olin College of Engineering)
Abstract:
The modeling of fluid interactions around airfoils is diffcult given the complicated, often non-symmetric geometries involved. The complex variable technique of conformal mapping is a useful intermediate step that allows for complicated airfoil flow problems to be solved as problems with simpler geometry. In this paper, we use the conformal mapping technique to model the fluid flow around the NACA 0012, 2215, and 4412 airfoils by using the Joukowsky transformation to link the flow solution for a cylinder to that of an airfoil. The flow around a cylinder was derived with the superposition of elementary potential flows using an inviscid, incompressible fluid model. Lift calculations as a function of angle of attack for each airfoil were obtained using the transformed flow solutions and fundamental theories of aerodynamics. These calculations are compared against lift calculations provided by the thin airfoil method. Lift calculations for the NACA 0012 airfoil match well with expected results, while there is a discrepancy at low angles of attack for the 2215 and 4412 airfoils.
Numerical Wave Scattering Taking Account of Energy Dissipation and Media Stiffness as Modeled by the Telegraph Equation
Published electronically December 9, 2008
DOI:
10.1137/08S010153
Authors:
Sebastian Acosta and Pedro Acosta (Brigham Young University)
Sponsor:
Dr. Vianey Villamizar (Brigham Young University)
Abstract:
The telegraph equation is employed to model wave fields taking into account energy dissipation and media stiffness. The timeharmonic scattered waves generated by a line source incident upon cylindrical obstacles of arbitrary cross-section are studied. Solutions are found to depend strongly on the relative values of the frequency, damping, and stiffness coefficients. These coefficients are also found to have a significant effect on the far-field pattern. The analytical solution for a circular cylinder is reviewed. An approximate finite-difference solution is also obtained for the case of a two-dimensional scatterer with an arbitrary cross-section. Details are given for both soft and hard boundary conditions. The main feature of the numerical scheme is its computational efficiency based on the coupling between boundary conforming grids and a curvilinear coordinates version of the Dirichlet-to-Neumann non-reflecting boundary condition.