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In the 2nd part of the lecture we look at boundary conditions for systems of hyperbolic equations.
Course Code
SCEE09004 Publisher
School of Engineering Licence Type
Creative Commons - Attribution Language
English Date Created
February 22nd, 2021
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Here we look in detail at the results from the test problem and discuss dispersive and dissipative errors.
Course Code
SCEE09004 Publisher
School of Engineering Licence Type
Creative Commons - Attribution Language
English Date Created
February 16th, 2021
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This part of the lecture develops a 2D solver using the method of Fractional Steps and the MacCormack scheme and applies it to a test problem
Course Code
SCEE09004 Publisher
School of Engineering Licence Type
Creative Commons - Attribution Language
English Date Created
February 16th, 2021
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In this lecture we look at operator splitting and the method of fractional steps which can be used to solve 2 and 3D problems with 1D schemes.
Course Code
SCEE09004 Publisher
School of Engineering Licence Type
Creative Commons - Attribution Language
English Date Created
February 16th, 2021
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We look briefly at how MUSCL schemes use weighted interpolation of fluxes as an alternative to the TVD schemes.
Course Code
SCEE09004 Publisher
School of Engineering Licence Type
Creative Commons - Attribution Language
English Date Created
February 15th, 2021
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Here we implement the MacCormack scheme with a TVD correction in Matlab and apply it to a test problem
Course Code
SCEE09004 Publisher
School of Engineering Licence Type
Creative Commons - Attribution Date Created
February 15th, 2021
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In this lecture we look at schemes which are not prone to producing the spurious "Gibbs" oscillations we saw in the last lecture. We start b talking about TVD schemes
Course Code
SCEE09004 Publisher
School of Engineering Licence Type
Creative Commons - Attribution Language
English Date Created
February 15th, 2021
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A lecture introducing numerical methods for hyperbolic PDEs
Course Code
SCEE09004 Publisher
School of Engineering Licence Type
Creative Commons - Attribution Language
English Date Created
February 8th, 2021
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