Search for tag: "numerical methods"

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07:17 Partial Differential Equations Lecture 10 -… Partial Differential Equations Lecture 10 - Results	Partial Differential Equations Lecture 10 - Results In the last part of this lecture we look at the results we obtain to the test problem and look forward to solving real fluid dynamics problems using commercial solvers in CFD5. shallow water equations numerical methods partial differential equations metre water conditions equations velocity metres depression solution left side condition problems height steps problem dynamics flow direction thing shock From David Ingram 0 likes 115 plays 0 Course Code SCEE09004 Publisher School of Engineering Licence Type Creative Commons - Attribution Language English Date Created February 22nd, 2021
06:46 Partial Differential Equations Lecture 10 - The… Partial Differential Equations Lecture 10 - The Solver	Partial Differential Equations Lecture 10 - The Solver We now introduce a family of test problems and look at the Matlab code needed to solver the shallow water equations. shallow water equations numerical methods partial differential equations solution hand equations conditions characteristics water problem fluxes velocity programme height characteristic problems flow boundary areas quantities depression side point From David Ingram 0 likes 101 plays 0 Course Code scee09004 Publisher School of Engineering Licence Type Creative Commons - Attribution Language English Date Created February 22nd, 2021
05:08 Partial Differential Equations Lecture 10 -… Partial Differential Equations Lecture 10 - Boundary Conditions	Partial Differential Equations Lecture 10 - Boundary Conditions In the 2nd part of the lecture we look at boundary conditions for systems of hyperbolic equations. shallow water equations hyperbolic equation numerical methods domain characteristics flow conditions boundary head fluid velocity side root piece condition speed region solution inlet image energy characteristic phi From David Ingram 0 likes 128 plays 0 Course Code SCEE09004 Publisher School of Engineering Licence Type Creative Commons - Attribution Language English Date Created February 22nd, 2021
10:50 Partial Differential Equations Lecture 10 -… Partial Differential Equations Lecture 10 - Shallow Water Equations	Partial Differential Equations Lecture 10 - Shallow Water Equations In this lecture we extend our solver to apply to a system of equations in one spatial dimension. In this case we are solving the St Vennant, or Shallow Water Equations. shallow water equations partial differential equations numerical methods equations matrix conservation momentum phi mass advection water root lambda linear inverse q2 eigenvalues times speed equation form channel term From David Ingram 0 likes 155 plays 0 Course Code SCEE09004 Publisher School of Engineering Licence Type Creative Commons - Attribution Language English Date Created February 22nd, 2021
10:13 Partial Differential Equations Lecture 9 - Results Partial Differential Equations Lecture 9 - Results	Partial Differential Equations Lecture 9 - Results Here we look in detail at the results from the test problem and discuss dispersive and dissipative errors. numerical methods hyperbolic equation fractional steps partial differential equations solution amplitude test grid dispersion 3d dissipation error kind problems conditions shape concentration equations delta errors bit wave lots loss From David Ingram 0 likes 103 plays 0 Course Code SCEE09004 Publisher School of Engineering Licence Type Creative Commons - Attribution Language English Date Created February 16th, 2021
07:25 Partial Differential Equations Lecture 9 -… Partial Differential Equations Lecture 9 - MacCormack method in 2D	Partial Differential Equations Lecture 9 - MacCormack method in 2D 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 hyperbolic equation fractional steps numerical methods partial differential equations operator problem conditions function test step direction bit 2pi values delta 3e solution times scheme lecture rise corrector predictor timestep From David Ingram 0 likes 229 plays 0 Course Code SCEE09004 Publisher School of Engineering Licence Type Creative Commons - Attribution Language English Date Created February 16th, 2021
04:05 Partial Differential Equations, Lecture 7a:… Partial Differential Equations, Lecture 7a: Numerical solution of hyperbolic PDEs.	Partial Differential Equations, Lecture 7a: Numerical solution of hyperbolic PDEs. A lecture introducing numerical methods for hyperbolic PDEs hyperbolic equation partial differential equations numerical methods equation schemes scheme equations space operator series taylor term linear difference delta derivative advection lecture form eviction expansion kind x. From David Ingram 0 likes 220 plays 0 Course Code SCEE09004 Publisher School of Engineering Licence Type Creative Commons - Attribution Language English Date Created February 8th, 2021

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