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Table 2 Oldroyd-B model data (DQ and Wi), with \(\beta =1/9\), for a cross-slot with sharp corners

From: Numerical study of the square-root conformation tensor formulation for confined and free-surface viscoelastic fluid flows

 

De \(=\) 0.1

De \(=\) 0.2

De \(=\) 0.3

De \(=\) 0.35

De \(=\) 0.4

De \(=\) 0.42

FVM

   \(DQ_{log}\)

0.000

0.000

0.000

0.000

0.555

0.652

   \(DQ_{sqroot}\)

0.000

0.000

0.000

0.000

0.554

0.653

FDM

   \(DQ_{log}\)

0.000

0.000

0.000

0.000

0.563

0.660

   \(DQ_{sqroot}\)

0.000

0.000

0.000

0.000

0.563

0.661

DQ Ref. [49]

FVM

0.000

0.000

0.000

0.000

0.562

0.666

   \(Wi_{log}\)

0.317

0.517

0.589

0.601

0.506

0.493

   \(Wi_{sqroot}\)

0.317

0.517

0.589

0.600

0.505

0.493

FDM

   \(Wi_{log}\)

0.313

0.516

0.583

0.576

0.500

0.486

   \(Wi_{sqroot}\)

0.319

0.516

0.579

0.587

0.502

0.489

Wi Ref. [49]

0.322

0.522

0.591

0.602

0.497

0.487