Jansen van Rensburg, Gerhardus JBogaers, Alfred EJ2018-10-262018-10-262018-09Jansen van Rensburg, G.J. and Bogaers, A.E.J. 2018. Improved accuracy considerations in Radial Basis Function surrogate models for variable resolution, scale, dimension and discontinuity. Proceedings of the Eleventh South African Conference on Computational and Applied Mechanics, Vanderbijlpark, South Africa, 17-19 September 2018: 1-11978-1-77012-143-0https://www.vut.ac.za/sacam2018/#1502791011790-fdff0ba6-6d10http://hdl.handle.net/10204/10503Conference paper presented at the Eleventh South African Conference on Computational and Applied Mechanics, Vanderbijlpark, South Africa, 17-19 September 2018Surrogate- or metamodels approximate and so reduce the computational cost associated with evaluating computer experiments of interest over a set of design variables. Radial Basis Functions (RBFs) are a popular metamodel choice due to its ease of implementation and availability in popular scientific programming languages. The correct use of RBF metamodels first require a model appropriate choice of basis function. The inclusion of a higher level model definition, using a polynomial for example, is another important consideration. By using cross-validation, dimensional scaling and error indicators calculated and inherited from Bayesian statistics or Machine Learning algorithms, the accuracy of the surrogate approximation can further be improved. Multiple surrogates may also be needed if discontinuities exist within the design space of the underlying computer experiment. In this conference contribution, many of these non-standard considerations are addressed and illustrated. The work focuses on the knowledge transfer and correct use of RBF surrogate models. The model implementation and considerations are first illustrated on benchmark test functions. This is followed by a CFD test-problem on the particular use of RBFs to construct a flight envelope of an object, illustrated using the interaction of two diamond airfoils. The test-problem shows the practical design of an RBF surrogate considering non-linearities in the drag, lift and moment coefficients as a result of interaction between various shock waves in the transonic and supersonic regime.enFlight EnvelopeRadial Basis FunctionSurrogate ModellingConference PresentationJansen van Rensburg, G. J., & Bogaers, A. E. (2018). Improved accuracy considerations in Radial Basis Function surrogate models for variable resolution, scale, dimension and discontinuity. http://hdl.handle.net/10204/10503Jansen van Rensburg, Gerhardus J, and Alfred EJ Bogaers. "Improved accuracy considerations in Radial Basis Function surrogate models for variable resolution, scale, dimension and discontinuity." (2018): http://hdl.handle.net/10204/10503Jansen van Rensburg GJ, Bogaers AE, Improved accuracy considerations in Radial Basis Function surrogate models for variable resolution, scale, dimension and discontinuity; 2018. http://hdl.handle.net/10204/10503 .TY - Conference Presentation AU - Jansen van Rensburg, Gerhardus J AU - Bogaers, Alfred EJ AB - Surrogate- or metamodels approximate and so reduce the computational cost associated with evaluating computer experiments of interest over a set of design variables. Radial Basis Functions (RBFs) are a popular metamodel choice due to its ease of implementation and availability in popular scientific programming languages. The correct use of RBF metamodels first require a model appropriate choice of basis function. The inclusion of a higher level model definition, using a polynomial for example, is another important consideration. By using cross-validation, dimensional scaling and error indicators calculated and inherited from Bayesian statistics or Machine Learning algorithms, the accuracy of the surrogate approximation can further be improved. Multiple surrogates may also be needed if discontinuities exist within the design space of the underlying computer experiment. In this conference contribution, many of these non-standard considerations are addressed and illustrated. The work focuses on the knowledge transfer and correct use of RBF surrogate models. The model implementation and considerations are first illustrated on benchmark test functions. This is followed by a CFD test-problem on the particular use of RBFs to construct a flight envelope of an object, illustrated using the interaction of two diamond airfoils. The test-problem shows the practical design of an RBF surrogate considering non-linearities in the drag, lift and moment coefficients as a result of interaction between various shock waves in the transonic and supersonic regime. DA - 2018-09 DB - ResearchSpace DP - CSIR KW - Flight Envelope KW - Radial Basis Function KW - Surrogate Modelling LK - https://researchspace.csir.co.za PY - 2018 SM - 978-1-77012-143-0 T1 - Improved accuracy considerations in Radial Basis Function surrogate models for variable resolution, scale, dimension and discontinuity TI - Improved accuracy considerations in Radial Basis Function surrogate models for variable resolution, scale, dimension and discontinuity UR - http://hdl.handle.net/10204/10503 ER -