pith:ECPKF6XL
Systematic Evaluation of Stencil Configuration, Forcing Scheme, and Resolution Effects in the Stratified Taylor--Green Vortex: A Lattice Boltzmann Study
The D3Q27×19 lattice configuration in the double-distribution-function framework reproduces kinetic and potential energy evolution in the stratified Taylor-Green vortex with the best accuracy-efficiency trade-off.
arxiv:2605.14505 v1 · 2026-05-14 · physics.flu-dyn
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Claims
The D3Q27×19 configuration achieves an optimal balance between numerical accuracy and computational efficiency, accurately reproducing the temporal evolution of kinetic and potential energies as well as the characteristic double-peak dissipation structure. Under strongly stratified conditions, the velocity-shift forcing schemes outperform discrete source-term approaches, reducing the overall error by approximately 45.54%.
The double-distribution-function framework under the Boussinesq approximation is assumed to capture the essential physics of the stratified flow without needing corrections for compressibility or other non-Boussinesq effects at the tested stratification levels.
D3Q27x19 stencil combined with velocity-shift forcing in LBM accurately reproduces kinetic and potential energies in stratified Taylor-Green vortex at 256^3 resolution, cutting error by about 45% versus other schemes.
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| First computed | 2026-05-17T23:39:06.264380Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
209ea2faeb3ec4a1bad9af8871c2da58637125d49ae5bb4a709894883a498290
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curl -sH 'Accept: application/ld+json' https://pith.science/pith/ECPKF6XLH3CKDOWZV6EHDQW2LB \
| jq -c '.canonical_record' \
| python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 209ea2faeb3ec4a1bad9af8871c2da58637125d49ae5bb4a709894883a498290
Canonical record JSON
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