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THE FINITEELEMENT METHOD AN INTRODUCTION
IN VISCID POTENTIAL FLOW
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2DPNS 3DPNS accuracy and convergence algebraic algorithm solution analysis approximation error Baker boundary condition boundary layer cardinal basis Chap coefficients computed constant constraint construction continuity equation convection coordinate system corresponding defined definition denotes dependent variable derivative diffusion discretization refinement distribution duct element algorithm energy functional equation system error evaluation example extremum Figure finite element Finite Element Method finite-difference finite-element algorithm statement finite-element domain finite-element solution algorithm fluid mechanics formulation gradient grid Hence hypermatrix identical incompressible initial-value interpolation iteration jacobian Kronecker delta laminar linear Navier-Stokes equations node nonlinear numerical one-dimensional parabolic partial differential equation percent plane potential flow prediction pressure problem class procedure quadratic Reynolds number Reynolds stress scalar components shock tube solution domain specification steady-state summarizes temperature tensor product tensor product basis term theoretical three-dimensional time-split tion transverse turbulent flow two-dimensional vanishes vector velocity field Verify viscosity vorticity yields