A Similarity Approach to the Numerical Solution of Free Boundary Problems

DOI10.1137/S0036144595285057zbMath0915.65090MaRDI QIDQ4210363

Riccardo Fazio

Publication date: 21 September 1998

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

numerical resultsreductionboundary layerBlasius problemfree boundary problemsinfinite intervalsshock front propagationsimilarity approachgroup invariance theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability in context of PDEs (35B35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Applications to the sciences (65Z05) Local Lie groups (22E05)

Related Items (14)

Blasius problem and Falkner-Skan model: Töpfer's algorithm and its extension ⋮ Existence and features of similarity solutions for non-Boussinesq gravity currents ⋮ Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods ⋮ Unnamed Item ⋮ An investigation of an Emden-Fowler equation from thin film flow ⋮ FINITE-DIFFERENCE METHOD OF ORDER SIX FOR THE TWO-DIMENSIONAL STEADY AND UNSTEADY BOUNDARY-LAYER EQUATIONS ⋮ A modulus-based multigrid method for nonlinear complementarity problems with application to free boundary problems with nonlinear source terms ⋮ A note on the transformation of boundary value problems to initial value problems: the iterative transformation method ⋮ A free boundary approach and keller's box scheme for BVPs on infinite intervals ⋮ Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations ⋮ Numerical transformation methods: Blasius problem and its variants ⋮ On the moving boundary formulation for parabolic problems on unbounded domains ⋮ A non-iterative transformation method for boundary-layer with power-law viscosity for non-Newtonian fluids ⋮ A survey on free boundary identification of the truncated boundary in numerical BVPs on infinite intervals

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