摘要:

AbstractThe paper presents some investigations in developing schemes based on a splitting of the Euler equations into a pure convective part and an acoustic part (pressure term) combined with a multidimensional treatment on unstructured triangular meshes. Two decompositions are considered and are compared with classical approaches on two‐dimensional inviscid flow simulation

ISSN:0271-2091    

DOI:10.1002/fld.1650200822

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

摘要:

AbstractA new algorithm for the solution of the shallow water equations is introduced. The formulation is founded on a suitable operator‐splitting procedure for which a characteristic‐based rational form of including balancing dissipation terms is achieved.In the semi‐explicit form the method circumvents the requirement of a critical time step given in terms of the wave celerity, which is restrictive for the analysis of long‐wave propagation in shallow waters.In this work the robustness of the algorithm is illustrated for transient shallow water problems and for some supercritical flows, where the choice of an algorithm with optimal diffusion properties is m

ISSN:0271-2091    

DOI:10.1002/fld.1650200823

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

摘要:

AbstractA new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time‐frequency and space‐wave number localization of a window function is developed. This method is motivated by the theory of wavelets and also has the desirable attributes of the recently proposed smooth particle hydrodynamics (SPH) methods, moving least squares methods (MLSM), diffuse element methods (DEM) and element‐free Galerkin methods (EFGM). The proposed method maintains the advantages of the free Lagrange or SPH methods; however, because of the addition of a correction function, it gives much more accurate results. Therefore it is called the reproducing kernel particle method (RKPM). In computer implementation RKPM is shown to be more efficient than DEM and EFGM. Moreover, if the window function isC∞, the solution and its derivatives are alsoC∞in the entire domain. Theoretical analysis and numerical experiments on the 1D diffusion equation reveal the stability conditions and the effect of the dilation parameter on the unusually high convergence rates of the proposed method. Two‐dimensional examples of advection‐diffusion equations and compressible Euler equations are also presented together with 2D multiple‐scale

ISSN:0271-2091    

DOI:10.1002/fld.1650200824

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650200825

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650200826

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650200801

出版商:John Wiley&Sons, Ltd    

年代:1995

数据来源: WILEY