Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
Book Description
For more than the last 20 years there has been a concerted effort to solve the stationary Navier-Stokes equations; however, this has only been successful for a few special cases of primarily academic interest. An alternative approach has been to solve the equations numerically, and then compare the results with experiment. On occasion, such comparisons are in good agreement. However, such results are of dubious value since one has no a-priori way of knowing the relevance of such results until they are explicitly compared against experiment. Therefore, it would seem reasonable to conclude that the present approaches to solving the Navier-Stokes equations are of limited value. Accordingly, it is the purpose of this paper to show that there does, indeed, exist an equivalent representation of the problem that has significant potential in solving such problems. This is due to the fact that this equivalent representation of the problem consists of a sequence of Fredholm Integral Equations of the second kind, and the solving of this type of problem is very well developed. In addition, for the problem in this form, there is an excellent chance to also determine explicit error estimates, since one would now be dealing with bounded linear operators, rather than unbounded. (Author).
Reduction of the Two Dimensional Stationary Navier-Stokes Problem to a Sequence of Fredholm Integral Equations of the Second Kind
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
Book Description
For more than the last 20 years there has been a concerted effort to solve the stationary Navier-Stokes equations; however, this has only been successful for a few special cases of primarily academic interest. An alternative approach has been to solve the equations numerically, and then compare the results with experiment. On occasion, such comparisons are in good agreement. However, such results are of dubious value since one has no a-priori way of knowing the relevance of such results until they are explicitly compared against experiment. Therefore, it would seem reasonable to conclude that the present approaches to solving the Navier-Stokes equations are of limited value. Accordingly, it is the purpose of this paper to show that there does, indeed, exist an equivalent representation of the problem that has significant potential in solving such problems. This is due to the fact that this equivalent representation of the problem consists of a sequence of Fredholm Integral Equations of the second kind, and the solving of this type of problem is very well developed. In addition, for the problem in this form, there is an excellent chance to also determine explicit error estimates, since one would now be dealing with bounded linear operators, rather than unbounded. (Author).
Publisher:
ISBN:
Category :
Languages : en
Pages : 18
Book Description
For more than the last 20 years there has been a concerted effort to solve the stationary Navier-Stokes equations; however, this has only been successful for a few special cases of primarily academic interest. An alternative approach has been to solve the equations numerically, and then compare the results with experiment. On occasion, such comparisons are in good agreement. However, such results are of dubious value since one has no a-priori way of knowing the relevance of such results until they are explicitly compared against experiment. Therefore, it would seem reasonable to conclude that the present approaches to solving the Navier-Stokes equations are of limited value. Accordingly, it is the purpose of this paper to show that there does, indeed, exist an equivalent representation of the problem that has significant potential in solving such problems. This is due to the fact that this equivalent representation of the problem consists of a sequence of Fredholm Integral Equations of the second kind, and the solving of this type of problem is very well developed. In addition, for the problem in this form, there is an excellent chance to also determine explicit error estimates, since one would now be dealing with bounded linear operators, rather than unbounded. (Author).
Scientific and Technical Aerospace Reports
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Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 276
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 276
Book Description
Technical Abstract Bulletin
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ISBN:
Category : Science
Languages : en
Pages : 216
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 216
Book Description
A Solution for Two-dimensional Fredholm Integral Equations of the Second Kind with Periodic, Semiperiodic, Or Nonperiodic Kernels
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ISBN:
Category :
Languages : en
Pages : 36
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
Book Description
A Computer Solution to the Stationary Navier-Stokes Equations in Two Dimensions with Proven Convergence
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Category :
Languages : en
Pages : 16
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
Book Description
The Shock and Vibration Digest
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ISBN:
Category : Shock (Mechanics)
Languages : en
Pages : 488
Book Description
Publisher:
ISBN:
Category : Shock (Mechanics)
Languages : en
Pages : 488
Book Description
Applied Mechanics Reviews
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ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 1196
Book Description
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 1196
Book Description
Government Reports Announcements & Index
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ISBN:
Category : Science
Languages : en
Pages : 890
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 890
Book Description
Government reports annual index
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Publisher:
ISBN:
Category :
Languages : en
Pages : 932
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 932
Book Description
A Numerical Solution for Two-dimensional Fredholm Integral Equations of the Second Kind with Kernels of the Logarithmic Potential Form
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
Book Description