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Theory and Modern Applications

Table 1 Water elevation \(\pmb{\zeta(x,y,t)}\) (m) at \(\pmb{t=2}\) hrs 50 min

From: Analytical solution to a hydrodynamic model in an open uniform reservoir

y x

320

640

960

1,280

1,600

1,920

2,240

2,560

2,880

320

0.1729

0.2620

0.3174

0.3352

0.3177

0.2716

0.2055

0.1272

0.0430

640

0.2835

0.4295

0.5203

0.5495

0.5209

0.4453

0.3368

0.2085

0.0704

960

0.3871

0.5864

0.7104

0.7503

0.7112

0.6080

0.4599

0.2847

0.0962

1,280

0.4811

0.7289

0.8830

0.9326

0.8840

0.7557

0.5716

0.3538

0.1195

1,600

0.5633

0.8534

1.0338

1.0919

1.0350

0.8848

0.6692

0.4143

0.1400

1,920

0.6316

0.9570

1.1592

1.2243

1.1605

0.9922

0.7504

0.4646

0.1570

2,240

0.6844

1.0369

1.2561

1.3266

1.2575

1.0751

0.8131

0.5034

0.1701

2,560

0.7203

1.0913

1.3220

1.3963

1.3235

1.1315

0.8558

0.5298

0.1790

2,880

0.7385

1.1189

1.3554

1.4315

1.3569

1.1600

0.8774

0.5432

0.1835