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Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru

Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru

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328 Subject index<br />

Prescribed traction boundary conditions, 83<br />

Preservation of mass, 1<br />

Pressure, 1, 4, 7, 65, 170, 175, 265, 266<br />

acoustical, 264<br />

atmospheric, 220<br />

average, 175<br />

coe cient of, 304<br />

constant, 170<br />

hydrostatic, 5, 223<br />

surface, 202<br />

Pressure contours, 208, 210<br />

Pressure distribution, 211<br />

Pressure gradients, 91<br />

Pressure hydrostatic, 3<br />

Pressure switch, 174, 286<br />

Pressure vessel, 196<br />

Pressure waves, 245<br />

Principal curvatures, maximum, 108<br />

Principal values (of curvatures), 107<br />

Principle:<br />

variational, 22<br />

Procedure:<br />

(See also algorithm, method, process)<br />

adaptive, 206, 275<br />

characteristic±Galerkin, 36, 67, 146, 237<br />

conjugate gradient, 77<br />

decay function, 259<br />

explicit characteristic±Galerkin, 38<br />

gradient based, 113<br />

iterative solution, 147<br />

multigrid, 189<br />

Petrov±Galerkin, 20, 30<br />

solution, 70<br />

stabilization, 280<br />

<strong>Taylor</strong>±Galerkin, 57, 173<br />

upwinding characteristic-based, 59<br />

Process:<br />

(See also algorithm, method, procedure)<br />

Characteristic±Galerkin, 69<br />

Galerkin, 1<br />

h-re®nement, 180<br />

incompressibility stabilizing, 66<br />

Petrov±Galerkin, 43<br />

<strong>Taylor</strong>±Galerkin, 47<br />

transient, 120<br />

Progressive steepening, 224<br />

Progressive waves, large-amplitude, 268<br />

Prolate spheroidal coordinates, 261<br />

Prolongation operator, 300<br />

Propagation speeds, 172<br />

Propagation, shock, 50<br />

Propogation, long-wave, 224<br />

Pseudo-concentration methods, 148<br />

Publisher's web page, 276<br />

Punch indentation problem, 126, 129<br />

Pure convection, 29, 45, 146<br />

Pure Euler solution, 209<br />

Pure Stokes ¯ow, 98<br />

Purely convective form, 10<br />

Quadrilateral elements, 132, 206, 207<br />

Quasi-implicit solution, 77, 98, 103, 104, 275<br />

r re®nement, 113<br />

Radar, 246<br />

Radial integration, 262<br />

Radiated wave, 251<br />

Radiation condition, 44, 250, 251, 269<br />

Radiation of acoustic waves, 242<br />

Radiation problem, 250<br />

Radiation stresses, 235<br />

Ramp conditions, 97<br />

Random ¯uctuation of velocity, 10<br />

Rankine±Hugoniot condition, 50<br />

Rate dependence, viscosity±strain, 118<br />

Rate tensor, strain, 118<br />

Rayleigh number, 155, 156, 276<br />

low, 159<br />

Rayleigh±Bernard convection, 156<br />

Re-entrant corners, 245<br />

Reaction, chemical, 8<br />

Recovery, elastic, 132<br />

Rectangular channel, 228, 235<br />

Reduced integration, 116<br />

Re®nement, 198<br />

adaptive, 102, 132, 180, 200, 206<br />

curvature based, 102<br />

gradient based, 110<br />

mesh, 110, 113<br />

r, 113<br />

second, 205<br />

Re®nements, hp, 103<br />

Re¯ecting wall, perfectly, 243<br />

Re¯ection:<br />

shock wave, 182<br />

Re¯ections, undesired, 227<br />

Refraction, 250<br />

Region:<br />

exterior, 256<br />

mushy, 289<br />

shock, 197<br />

turbulent, 303<br />

Reimann variables, 173<br />

Relation:<br />

dispersion, 243, 269, 271<br />

Ergun's, 159<br />

Sutherland's, 284<br />

Relationship, state, 10<br />

Remeshing:<br />

adaptive, 126, 195<br />

Residual based methods, 176<br />

Residual statement, weighted, 14, 251, 264

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