A priori reduction method for solving the two-dimensional Burgers’ equations |
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Authors: | C Allery A HamdouniD Ryckelynck N Verdon |
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Institution: | a LEPTIAB, Université de La Rochelle, France b Centre des Matériaux, UMR CNRS 7633, Ecole des mines de Paris, France c Laboratoire J.-A. Dieudonné, UMR CNRS 6621, Université de Nice - Sophia Antipolis, France |
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Abstract: | The two-dimensional Burgers’ equations are solved here using the A Priori Reduction method. This method is based on an iterative procedure which consists in building a basis for the solution where at each iteration the basis is improved. The method is called a priori because it does not need any prior knowledge of the solution, which is not the case if the standard Karhunen-Loéve decomposition is used. The accuracy of the APR method is compared with the standard Newton-Raphson scheme and with results from the literature. The APR basis is also compared with the Karhunen-Loéve basis. |
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Keywords: | Reduced-order model Burgers&rsquo equations Karhunen-Loé ve decomposition Proper orthogonal decomposition (POD) |
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